Last update:
Fri May 31 10:32:27 MDT 2024
Shigui Ruan and
Xue-Zhong He Global Stability in Chemostat-Type
Competition Models with Nutrient
Recycling . . . . . . . . . . . . . . . 170--192
Shay Gueron and
Itai Shafrir On a Discrete Variational Problem
Involving Interacting Particles . . . . 1--17
Cristian Dascalu and
Dorel Homentcovschi Uniform Asymptotic Solutions for
Lamellar Inhomogeneities in Anisotropic
Elastic Solids . . . . . . . . . . . . . 18--42
B. Desjardins and
E. Grenier On the Homogeneous Model of Wind-Driven
Ocean Circulation . . . . . . . . . . . 43--60
Henar Herrero and
Brigitte Lucquin-Desreux and
Beno\^\it Perthame On The Motion of Dispersed Balls in a
Potential Flow: a Kinetic Description of
the Added Mass Effect . . . . . . . . . 61--83
Alexander G. Belyaev and
Gregory A. Chechkin and
Rustem R. Gadyl'shin Effective Membrane Permeability:
Estimates and Low Concentration
Asymptotics . . . . . . . . . . . . . . 84--108
Christian Schmeiser Macroscopic Models for Almost Elastic
Nonlinear Electron-Phonon Interaction in
Semiconductors . . . . . . . . . . . . . 109--120
S. J. Chapman and
J. M. H. Lawry and
J. R. Ockendon Ray Theory for High-Péclet-Number
Convection-Diffusion . . . . . . . . . . 121--135
Daniel A. Schult Matched Asymptotic Expansions and the
Closure Problem for Combustion Waves . . 136--155
G. Aubert and
R. Deriche and
P. Kornprobst Computing Optical Flow via Variational
Techniques . . . . . . . . . . . . . . . 156--182
Gadi Fibich and
George Papanicolaou Self-Focusing in the Perturbed and
Unperturbed Nonlinear Schrödinger
Equation in Critical Dimension . . . . . 183--240
David Colton and
Peter Monk A Linear Sampling Method for the
Detection of Leukemia Using Microwaves
II . . . . . . . . . . . . . . . . . . . 241--255
Andreas Meister Asymptotic Single and Multiple Scale
Expansions in the Low Mach Number Limit 256--271
Anna Georgieva and
Thomas Kriecherbauer and
Stephanos Venakides Wave Propagation and Resonance in a
One-Dimensional Nonlinear Discrete
Periodic Medium . . . . . . . . . . . . 272--294
Harald Garcke and
Britta Nestler and
Barbara Stoth A MultiPhase Field Concept: Numerical
Simulations of Moving Phase Boundaries
and Multiple Junctions . . . . . . . . . 295--315
Azmy S. Ackleh and
Robert R. Ferdinand A Nonlinear Phytoplankton Aggregation
Model with Light Shading . . . . . . . . 316--336
H. G. Dehling and
A. C. Hoffmann and
H. W. Stuut Stochastic Models for Transport in a
Fluidized Bed . . . . . . . . . . . . . 337--358
Hyungsok Ahn and
Raisa E. Feldman Optimal Filtering of a Gaussian Signal
in the Presence of Lévy Noise . . . . . . 359--369
Pavel K. Brazhnik and
John J. Tyson On Traveling Wave Solutions of Fisher's
Equation in Two Spatial Dimensions . . . 371--391
Jonathan A. Sherratt Traveling Wave Solutions of a
Mathematical Model for Tumor
Encapsulation . . . . . . . . . . . . . 392--407
Ovide Arino and
Eva Sánchez and
Rafael Bravo de la Parra and
Pierre Auger A Singular Perturbation in an
Age-Structured Population Model . . . . 408--436
Achi Brandt and
Jordan Mann and
Matvei Brodski and
Meirav Galun A Fast and Accurate Multilevel Inversion
of the Radon Transform . . . . . . . . . 437--462
B. P. Marchant and
J. Norbury and
A. J. Perumpanani Traveling Shock Waves Arising in a Model
of Malignant Invasion . . . . . . . . . 463--476
Albert Cohen and
Raphael Danchin Multiscale Approximation of Vortex
Patches . . . . . . . . . . . . . . . . 477--502
Eugene M. Izhikevich Subcritical Elliptic Bursting of Bautin
Type . . . . . . . . . . . . . . . . . . 503--535
Vassilii M. Babich and
Daniel B. Dement'ev and
Boris A. Samokish and
Valery P. Smyshlyaev On Evaluation of the Diffraction
Coefficients for Arbitrary `Nonsingular'
Directions of a Smooth Convex Cone . . . 536--573
J. Billingham and
A. C. King and
R. C. Copcutt and
K. Kendall Analysis of a Model for a Loaded,
Planar, Solid Oxide Fuel Cell . . . . . 574--601
G. J. Boertjens and
W. T. van Horssen An Asymptotic Theory for a Weakly
Nonlinear Beam Equation with a Quadratic
Perturbation . . . . . . . . . . . . . . 602--632
I. A. Lubashevsky and
V. V. Gafiychuk Cooperative Mechanism of Self-Regulation
in Hierarchical Living Systems . . . . . 633--663
V. Karlin and
V. G. Maz'ya and
A. B. Movchan and
J. R. Willis and
R. Bullough Numerical Solution of Nonlinear
Hypersingular Integral Equations of the
Peierls Type in Dislocation Theory . . . 664--678
Dimitri Vaynblat and
Moshe Matalon Stability of Pole Solutions for Planar
Propagating Flames: I. Exact Eigenvalues
and Eigenfunctions . . . . . . . . . . . 679--702
Dimitri Vaynblat and
Moshe Matalon Stability of Pole Solutions for Planar
Propagating Flames: II. Properties of
Eigenvalues/Eigenfunctions and
Implications to Stability . . . . . . . 703--728
Charles Knessl and
Joseph B. Keller Probability of Brownian Motion Hitting
an Obstacle . . . . . . . . . . . . . . 729--745
Zhangxin Chen and
Guan Qin and
Richard E. Ewing Analysis of a Compositional Model for
Fluid Flow in Porous Media . . . . . . . 747--777
David Iron and
Michael J. Ward A Metastable Spike Solution for a
Nonlocal Reaction-Diffusion Model . . . 778--802
Marcus J. Grote and
Joseph B. Keller Exact Nonreflecting Boundary Condition
For Elastic Waves . . . . . . . . . . . 803--819
P. C. Bressloff and
S. Coombes A Dynamical Theory of Spike Train
Transitions in Networks of
Integrate-and-Fire Oscillators . . . . . 820--841
Timothy C. Elston and
Charles S. Peskin The Role of Protein Flexibility in
Molecular Motor Function: Coupled
Diffusion in a Tilted Periodic Potential 842--867
Steven J. Ruuth and
Barry Merriman Convolution-Generated Motion and
Generalized Huygens' Principles for
Interface Motion . . . . . . . . . . . . 868--890
Jonq Juang and
Song-Sun Lin Cellular Neural Networks: Mosaic Pattern
and Spatial Chaos . . . . . . . . . . . 891--915
A. Aw and
M. Rascle Resurrection of `Second Order'' Models
of Traffic Flow . . . . . . . . . . . . 916--938
Ben Zion Steinberg and
John J. McCoy and
Mark Mirotznik A Multiresolution Approach to
Homogenization and Effective Modal
Analysis of Complex Boundary Value
Problems . . . . . . . . . . . . . . . . 939--966
Jianke Yang and
D. J. Kaup Stability and Evolution of Solitary
Waves in Perturbed Generalized Nonlinear
Schrödinger Equations . . . . . . . . . . 967--989
Chris J. Budd and
Mark A. Peletier Approximate Self-Similarity in Models of
Geological Folding . . . . . . . . . . . 990--1016
Friedemann Schuricht Straight Configurations of Shearable
Nonlinearly Elastic Rods . . . . . . . . 1017--1036
Peter G. Petropoulos Reflectionless Sponge Layers as
Absorbing Boundary Conditions for the
Numerical Solution of Maxwell Equations
in Rectangular, Cylindrical, and
Spherical Coordinates . . . . . . . . . 1037--1058
K. Renee Fister and
John Carl Panetta Optimal Control Applied to
Cell-Cycle-Specific Cancer Chemotherapy 1059--1072
M. Carme Calderer and
Peter Palffy-Muhoray Ericksen's Bar and Modeling of the
Smectic A--Nematic Phase Transition . . 1073--1098
Tai-Chia Lin Rigorous and Generalized Derivation of
Vortex Line Dynamics in Superfluids and
Superconductors . . . . . . . . . . . . 1099--1110
Willi Jäger and
Andro Mikelic On The Interface Boundary Condition of
Beavers, Joseph, and Saffman . . . . . . 1111--1127
B. W. van de Fliert and
R. van der Hout A Generalized Stefan Problem in a
Diffusion Model with Evaporation . . . . 1128--1136
Riccardo March and
Piero Barone Reconstruction of a Piecewise Constant
Function from Noisy Fourier Coefficients
by Padé Method . . . . . . . . . . . . . 1137--1156
A. Aftalion and
S. J. Chapman Asymptotic Analysis of a Secondary
Bifurcation of the One-Dimensional
Ginzburg--Landau Equations of
Superconductivity . . . . . . . . . . . 1157--1176
M. Gregory Forest and
Hong Zhou and
Qi Wang Thermotropic Liquid Crystalline Polymer
Fibers . . . . . . . . . . . . . . . . . 1177--1204
Carlos Castro and
Enrique Zuazua Low Frequency Asymptotic Analysis of a
String with Rapidly Oscillating Density 1205--1233
W. P. M. H. Heemels and
J. M. Schumacher and
S. Weiland Linear Complementarity Systems . . . . . 1234--1269
Haitao Fan On a Model of the Dynamics of
Liquid/Vapor Phase Transitions . . . . . 1270--1301
Maarten V. de Hoop and
A. K. Gautesen Uniform Asymptotic Expansion of the
Generalized Bremmer Series . . . . . . . 1302--1329
Arthur Berger and
Yaakov Kogan Distribution of Processor-Sharing
Customers for a Large Closed System with
Multiple Classes . . . . . . . . . . . . 1330--1339
Tuncay Aktosun and
Paul E. Sacks Inversion of Reflectivity Data for
Nondecaying Potentials . . . . . . . . . 1340--1356
Stuart S. Antman and
Herbert Koch Self-Sustained Oscillations of
Nonlinearly Viscoelastic Layers . . . . 1357--1387
William W. Hager and
Rouben Rostamian and
Dongxing Wang The Wave Annihilation Technique and the
Design of Nonreflective Coatings . . . . 1388--1424
D. A. Edwards Biochemical Reactions on Helical
Structures . . . . . . . . . . . . . . . 1425--1446
Laurent Dumas and
François Golse Homogenization of Transport Equations 1447--1470
Rennie Mirollo and
Ned Rosen Existence, Uniqueness, and Nonuniqueness
of Single-Wave-Form Solutions to
Josephson Junction Systems . . . . . . . 1471--1501
Jeong-Hoon Kim and
So Young Sohn An Asymptotic Diffusion Limit for
Electromagnetic Wave Reflection from a
Random Medium . . . . . . . . . . . . . 1502--1519
George Christakos and
Dionissios T. Hristopulos and
Alexander Kolovos Stochastic Flowpath Analysis of
Multiphase Flow in Random Porous Media 1520--1542
A. H. Dando and
P. Hall and
D. T. Papageorgiou The Modulational Stability of Taylor
Vortices in a Curved Channel . . . . . . 1543--1564
Wen-An Yong and
Kevin Zumbrun Existence of Relaxation Shock Profiles
for Hyperbolic Conservation Laws . . . . 1565--1575
Don A. Jones and
Hal Smith Microbial Competition for Nutrient and
Wall Sites in Plug Flow . . . . . . . . 1576--1600
Georgiy S. Medvedev and
Tasso J. Kaper and
Nancy Kopell A Reaction-Diffusion System with
Periodic Front Dynamics . . . . . . . . 1601--1638
Guillaume Bal and
George Papanicolaou and
Leonid Ryzhik Probabilistic Theory of Transport
Processes with Polarization . . . . . . 1639--1666
E. Bobula and
D. A. Tarzia and
K. Twardowska and
L. T. Villa On a Free-Moving Boundary Diffusion
Problem in a Catalytic Gas-Solid System
with Catalyst Decay . . . . . . . . . . 1667--1685
Stephanos Venakides and
Mansoor A. Haider and
Vassilis Papanicolaou Boundary Integral Calculations of
Two-Dimensional Electromagnetic
Scattering by Photonic Crystal
Fabry--Perot Structures . . . . . . . . 1686--1706
P. M. McCabe and
J. A. Leach and
D. J. Needham The Evolution of Travelling Waves in
Fractional Order Autocatalysis with
Decay. II. The Initial Boundary Value
Problem . . . . . . . . . . . . . . . . 1707--1748
Axel Klar and
Raimund Wegener Kinetic Derivation of Macroscopic
Anticipation Models for Vehicular
Traffic . . . . . . . . . . . . . . . . 1749--1766
Mich\`ele S. Titcombe and
Michael J. Ward An Asymptotic Study of Oxygen Transport
from Multiple Capillaries to Skeletal
Muscle Tissue . . . . . . . . . . . . . 1767--1788
Eugene M. Izhikevich Phase Equations for Relaxation
Oscillators . . . . . . . . . . . . . . 1789--1804
H. Ammari and
A. Buffa and
J.-C. Nédélec A Justification of Eddy Currents Model
for the Maxwell Equations . . . . . . . 1805--1823
Irene Hueter and
Sonya Bahar Apparently Chaotic Orbits Embedded in
Closed Curves . . . . . . . . . . . . . 1824--1840
D. Ravi and
Y. V. Venkatesh A New Framework for Reconstruction of
Images from Boundaries . . . . . . . . . 1841--1866
R. P. Flemming and
W. E. Olmstead and
S. H. Davis Shear Localization with an Arrhenius
Flow Law . . . . . . . . . . . . . . . . 1867--1886
Guillaume Bal and
Leonid Ryzhik Diffusion Approximation of Radiative
Transfer Problems with Interfaces . . . 1887--1912
Kevin Zumbrun Dynamical Stability of Phase Transitions
in the $p$-System with
Viscosity-Capillarity . . . . . . . . . 1913--1924
M. Carme Calderer and
Chun Liu Liquid Crystal Flow: Dynamic and Static
Configurations . . . . . . . . . . . . . 1925--1949
I. A. Frigaard and
O. Scherzer The Effects of Yield Stress Variation on
Uniaxial Exchange Flows of Two Bingham
Fluids in a Pipe . . . . . . . . . . . . 1950--1976
J. D. Evans and
J. R. King On the Derivation of Heterogeneous
Reaction Kinetics from a Homogeneous
Reaction Model . . . . . . . . . . . . . 1977--1996
Jens Eggers Singularities in Droplet Pinching with
Vanishing Viscosity . . . . . . . . . . 1997--2008
L. Sirovich and
A. Omurtag and
B. W. Knight Dynamics of Neuronal Populations: The
Equilibrium Solution . . . . . . . . . . 2009--2028
M. Moscoso and
J. Galán and
L. L. Bonilla Bifurcation Behavior of a Superlattice
Model . . . . . . . . . . . . . . . . . 2029--2057
Bingtuan Li and
Gail S. K. Wolkowicz and
Yang Kuang Global Asymptotic Behavior of a
Chemostat Model with Two Perfectly
Complementary Resources and Distributed
Delay . . . . . . . . . . . . . . . . . 2058--2086
Anne-Sophie Bonnet-Ben Dhia and
Karim Ramdani Mathematical Analysis of Conducting and
Superconducting Transmission Lines . . . 2087--2113
D. S. Broomhead and
M. Kirby A New Approach to Dimensionality
Reduction: Theory and Algorithms . . . . 2114--2142
M. Avellaneda and
L. Berlyand and
J.-F. Clouet Frequency-Dependent Acoustics of
Composites with Interfaces . . . . . . . 2143--2181
Evelyn Sander and
Thomas Wanner Unexpectedly Linear Behavior for the
Cahn--Hilliard Equation . . . . . . . . 2182--2202
J. Leo van Hemmen and
Werner M. Kistler and
Erik G. F. Thomas Calculation of Volterra Kernels for
Solutions of Nonlinear Differential
Equations . . . . . . . . . . . . . . . 1--21
D. Ambrosi and
L. Preziosi Modeling Injection Molding Processes
with Deformable Porous Preforms . . . . 22--42
Daniel Grünbaum Advection-Diffusion Equations for
Internal State-Mediated Random Walks . . 43--73
Angelo Marcello Anile and
Vittorio Romano and
Giovanni Russo Extended Hydrodynamical Model of Carrier
Transport in Semiconductors . . . . . . 74--101
J. K. Hale and
L. A. Peletier and
W. C. Troy Exact Homoclinic and Heteroclinic
Solutions of the Gray--Scott Model for
Autocatalysis . . . . . . . . . . . . . 102--130
Giuseppe Al\`\i and
John K. Hunter The Resonant Interaction of Sound Waves
with a Large Amplitude Entropy Wave . . 131--148
Yaniv Almog On the Bifurcation and Stability of
Periodic Solutions of the
Ginzburg--Landau Equations in the Plane 149--171
Angela Stevens A Stochastic Cellular Automaton Modeling
Gliding and Aggregation of Myxobacteria 172--182
Angela Stevens The Derivation of Chemotaxis Equations
as Limit Dynamics of Moderately
Interacting Stochastic Many-Particle
Systems . . . . . . . . . . . . . . . . 183--212
Gerhard C. Cruywagen and
Philip K. Maini and
James D. Murray An Envelope Method for Analyzing
Sequential Pattern Formation . . . . . . 213--231
Philipp J. Schönbucher and
Paul Wilmott The Feedback Effect of Hedging in
Illiquid Markets . . . . . . . . . . . . 232--272
Shi Jin and
Markos A. Katsoulakis Hyperbolic Systems with
Supercharacteristic Relaxations and Roll
Waves . . . . . . . . . . . . . . . . . 273--292
Timothy J. Lewis and
James P. Keener Wave-Block in Excitable Media Due to
Regions of Depressed Excitability . . . 293--316
J. P. Keener Propagation of Waves in an Excitable
Medium with Discrete Release Sites . . . 317--334
Chih-Wen Shih Influence of Boundary Conditions on
Pattern Formation and Spatial Chaos in
Lattice Systems . . . . . . . . . . . . 335--368
Daphne Manoussaki and
Richard S. Chadwick Effects of Geometry on Fluid Loading in
a Coiled Cochlea . . . . . . . . . . . . 369--386
David J. Wollkind and
Laura E. Stephenson Chemical Turing Pattern Formation
Analyses: Comparison of Theory with
Experiment . . . . . . . . . . . . . . . 387--431
S. Coombes and
P. C. Bressloff Solitary Waves in a Model of Dendritic
Cable with Active Spines . . . . . . . . 432--453
Xinfu Chen and
Xiao-Ping Wang Phase Transition Near a Liquid-Gas
Coexistence Equilibrium . . . . . . . . 454--471
Jack X. Xin and
James M. Hyman Stability, Relaxation, and Oscillation
of Biodegradation Fronts . . . . . . . . 472--505
John C. Dallon and
Jonathan A. Sherratt A Mathematical Model for Spatially
Varying Extracellular Matrix Alignment 506--527
Luis L. Bonilla and
Antonio L. Sanchez and
Manuel Carretero The Description of Homogeneous
Branched-Chain Explosions with Slow
Radical Recombination by Self-Adjusting
Time Scales . . . . . . . . . . . . . . 528--550
Johan Helsing and
Gunnar Peters An Efficient Numerical Algorithm for
Cracks Partly in Frictionless Contact 551--566
Eric D. Stemmons and
Hal L. Smith Competition in a Chemostat with Wall
Attachment . . . . . . . . . . . . . . . 567--595
J.-P. Leduc and
F. Mujica and
R. Murenzi and
M. J. T. Smith SpatioTemporal Wavelets: a
Group-Theoretic Construction for Motion
Estimation and Tracking . . . . . . . . 596--632
Mila Nikolova Local Strong Homogeneity of a
Regularized Estimator . . . . . . . . . 633--658
Clifford J. Nolan Scattering in the Presence of Fold
Caustics . . . . . . . . . . . . . . . . 659--672
Leslie P. Shayer and
Sue Ann Campbell Stability, Bifurcation, and
Multistability in a System of Two
Coupled Neurons with Multiple Time
Delays . . . . . . . . . . . . . . . . . 673--700
C. J. Parkins Shock-Generated Ignition. Newtonian
Asymptotics for the Induction Domain
Between a Contact Surface and Shock . . 701--729
Kurt M. Berger and
Paul A. Milewski The Generation and Evolution of Lump
Solitary Waves in
Surface-Tension-Dominated Flows . . . . 731--750
Thomas Hillen and
Hans G. Othmer The Diffusion Limit of Transport
Equations Derived from Velocity-Jump
Processes . . . . . . . . . . . . . . . 751--775
Timothy C. Elston and
Dwight You and
Charles S. Peskin Protein Flexibility and the Correlation
Ratchet . . . . . . . . . . . . . . . . 776--791
Carl L. Gardner and
Joseph W. Jerome and
Robert S. Eisenberg Electrodiffusion Model of Rectangular
Current Pulses in Ionic Channels of
Cellular Membranes . . . . . . . . . . . 792--802
Zhilan Feng and
Horst R. Thieme Endemic Models with Arbitrarily
Distributed Periods of Infection I:
Fundamental Properties of the Model . . 803--833
G. Yin and
Q. Zhang Singularly Perturbed Discrete-Time
Markov Chains . . . . . . . . . . . . . 834--854
MingQing Xiao and
Tamer Basar Center Manifold of the Viscous
Moore--Greitzer PDE Model . . . . . . . 855--869
Abdul-Aziz Yakubu Searching Predator and Prey Dominance in
Discrete Predator-Prey Systems with
Dispersion . . . . . . . . . . . . . . . 870--888
S. Naire and
R. J. Braun and
S. A. Snow Limiting Cases of Gravitational Drainage
of a Vertical Free Film for Evaluating
Surfactants . . . . . . . . . . . . . . 889--913
Charles Knessl Asymptotic Analysis of A
Backward-Forward Parabolic Problem for
Data-Handling Systems . . . . . . . . . 914--933
Daniel M. Keenan and
Weimin Sun and
Johannes D. Veldhuis A Stochastic Biomathematical Model of
the Male Reproductive Hormone System . . 934--965
Didier Pieroux and
Thomas Erneux and
Athanasios Gavrielides and
Vassilios Kovanis Hopf Bifurcation Subject to a Large
Delay in a Laser System . . . . . . . . 966--982
Zhilan Feng and
Horst R. Thieme Endemic Models with Arbitrarily
Distributed Periods of Infection II:
Fast Disease Dynamics and Permanent
Recovery . . . . . . . . . . . . . . . . 983--1012
Alison L. Kay and
Jonathan A. Sherratt Spatial Noise Stabilizes Periodic Wave
Patterns in Oscillatory Systems on
Finite Domains . . . . . . . . . . . . . 1013--1041
Tong Li Global Solutions and Zero Relaxation
Limit for a Traffic Flow Model . . . . . 1042--1061
Francisco Bernis and
Josephus Hulshof and
Fernando Quirós The ``Linear'' Limit of Thin Film Flows
as an Obstacle-Type Free Boundary
Problem . . . . . . . . . . . . . . . . 1062--1079
Arjen Doelman and
Wiktor Eckhaus and
Tasso J. Kaper Slowly Modulated Two-Pulse Solutions in
the Gray--Scott Model I: Asymptotic
Construction and Stability . . . . . . . 1080--1102
A. Bayliss and
T.-K. Ma and
B. J. Matkowsky and
C. W. Wahle The Reactive Rayleigh--Bénard Problem
with Throughflow . . . . . . . . . . . . 1103--1142
Walter Senn and
Robert Urbanczik Similar NonLeaky Integrate-and-Fire
Neurons with Instantaneous Couplings
Always Synchronize . . . . . . . . . . . 1143--1155
J. J. L. Velázquez Corner Formation for the Undercooled
Stefan Problem . . . . . . . . . . . . . 1156--1201
Igor Ponomarev Separation of Variables in the
Computation of Spectra in 2-D Photonic
Crystals . . . . . . . . . . . . . . . . 1202--1218
Luqun Ni and
Sia Nemat-Nasser Singular Perturbation Solutions of a
Class of Systems of Singular Integral
Equations . . . . . . . . . . . . . . . 1219--1236
Rolando Magnanini and
Fadil Santosa Wave Propagation in a 2-D Optical
Waveguide . . . . . . . . . . . . . . . 1237--1252
Victor A. Galaktionov and
Stéphane Gerbi and
Juan L. Vazquez Quenching for a One-Dimensional Fully
Nonlinear Parabolic Equation in
Detonation Theory . . . . . . . . . . . 1253--1285
G. Richardson and
J. Rubinstein Classification of Phase Transitions in
Thin Structures with Small
Ginzburg--Landau Parameter . . . . . . . 1286--1307
Rachel Kuske and
Joseph B. Keller Rate of Convergence to a Stable Law . . 1308--1323
Hongwei Cheng On the Method of Images for Systems of
Closely Spaced Conducting Spheres . . . 1324--1337
Tony Chan and
Jianhong Shen Variational Restoration of Nonflat Image
Features: Models and Algorithms . . . . 1338--1361
Isom H. Herron On the Principle of Exchange of
Stabilities in Rayleigh--Bénard
Convection . . . . . . . . . . . . . . . 1362--1368
J. M. Tuwankotta and
F. Verhulst Symmetry and Resonance in Hamiltonian
Systems . . . . . . . . . . . . . . . . 1369--1385
H. Haddar and
P. Joly Effective Boundary Conditions for Thin
Ferromagnetic Layers: The
One-Dimensional Model . . . . . . . . . 1386--1417
John Norbury and
Li-Chin Yeh The Location and Stability of Interface
Solutions of an Inhomogeneous Parabolic
Problem . . . . . . . . . . . . . . . . 1418--1430
Y. Steinberg and
B. Z. Bobrovsky and
Z. Schuss Fixed-Point Smoothing of Scalar
Diffusions II: The Error of the Optimal
Smoother . . . . . . . . . . . . . . . . 1431--1444
Shigui Ruan and
Dongmei Xiao Global Analysis in a Predator-Prey
System with Nonmonotonic Functional
Response . . . . . . . . . . . . . . . . 1445--1472
Karol Mikula and
Daniel Sevcovic Evolution of Plane Curves Driven by a
Nonlinear Function of Curvature and
Anisotropy . . . . . . . . . . . . . . . 1473--1501
D. M. Anderson and
M. G. Forest and
R. Superfine A Model for a Spreading and Melting
Droplet on a Heated Substrate . . . . . 1502--1525
J. M. Beckers and
E. Delhez and
E. Deleersnijder Some Properties of Generalized
Age-Distribution Equations in Fluid
Dynamics . . . . . . . . . . . . . . . . 1526--1544
Albert Fannjiang and
Leonid Ryzhik Radiative Transfer of Sound Waves in a
Random Flow: Turbulent Scattering,
Straining, and Mode-Coupling . . . . . . 1545--1577
D. H. Terman and
G. B. Ermentrout and
A. C. Yew Propagating Activity Patterns in
Thalamic Neuronal Networks . . . . . . . 1578--1604
Sun-Chul Kim and
Stephen Childress Vorticity Selection with Multiple Eddies
in Two-Dimensional Steady Flow at High
Reynolds Number . . . . . . . . . . . . 1605--1617
Peter L. Simon A Retarded Differential Equation Model
of Wave Propagation in a Thin Ring . . . 1618--1627
Margaret Cheney and
David Isaacson and
Matti Lassas Optimal Acoustic Measurements . . . . . 1628--1647
Christopher E. Elmer and
Erik S. Van Vleck Traveling Wave Solutions for Bistable
Differential-Difference Equations with
Periodic Diffusion . . . . . . . . . . . 1648--1679
G. Fibich Self-Focusing in the Damped Nonlinear
Schrödinger Equation . . . . . . . . . . 1680--1705
C. G. Poulton and
L. C. Botten and
R. C. McPhedran and
N. A. Nicorovici and
A. B. Movchan Noncommuting Limits in Electromagnetic
Scattering: Asymptotic Analysis for an
Array of Highly Conducting Inclusions 1706--1730
Markus R. Owen and
Mark A. Lewis The Mechanics of Lung Tissue under
High-Frequency Ventilation . . . . . . . 1731--1761
Georgi S. Medvedev and
Nancy Kopell Synchronization and Transient Dynamics
in the Chains of Electrically Coupled
Fitzhugh--Nagumo Oscillators . . . . . . 1762--1801
Anna Georgieva and
Thomas Kriecherbauer and
Stephanos Venakides $1\colon 2$ Resonance Mediated Second
Harmonic Generation in a $1$-D Nonlinear
Discrete Periodic Medium . . . . . . . . 1802--1815
Gregory D. Smith and
Longxiang Dai and
Robert M. Miura and
Arthur Sherman Asymptotic Analysis of Buffered Calcium
Diffusion near a Point Source . . . . . 1816--1838
R. V. Craster and
Yu. V. Obnosov Four-Phase Checkerboard Composites . . . 1839--1856
Daniel M. Tartakovsky and
C. L. Winter Dynamics of Free Surfaces in Random
Porous Media . . . . . . . . . . . . . . 1857--1876
Xavier Antoine Microlocal Diagonalization of Strictly
Hyperbolic Pseudodifferential Systems
and Application to the Design of
Radiation Conditions in Electromagnetism 1877--1905
O. G. Harlen and
M. J. Holmes and
M. J. W. Povey and
Y. Qiu and
B. D. Sleeman A Low Frequency Potential Scattering
Description of Acoustic Propagation in
Dispersions . . . . . . . . . . . . . . 1906--1931
C. Cercignani and
I. M. Gamba and
C. D. Levermore A Drift-Collision Balance for a
Boltzmann--Poisson System in Bounded
Domains . . . . . . . . . . . . . . . . 1932--1958
Alex Figotin and
Yuri A. Godin Spectral Properties of Thin-Film
Photonic Crystals . . . . . . . . . . . 1959--1979
Alfred S. Carasso Direct Blind Deconvolution . . . . . . . 1980--2007
Alex Figotin and
Ilya Vitebsky Spectra of Periodic Nonreciprocal
Electric Circuits . . . . . . . . . . . 2008--2035
Arjen Doelman and
Wiktor Eckhaus and
Tasso J. Kaper Slowly Modulated Two-Pulse Solutions in
the Gray--Scott Model II: Geometric
Theory, Bifurcations, and Splitting
Dynamics . . . . . . . . . . . . . . . . 2036--2062
Frank Kwasniok Low-Dimensional Models of the
Ginzburg--Landau Equation . . . . . . . 2063--2079
O. Wall and
J. Holst Estimation of Parameters in Viscoplastic
and Creep Material Models . . . . . . . 2080--2103
Thomas DeLillo and
Victor Isakov and
Nicolas Valdivia and
Lianju Wang The Detection of the Source of
Acoustical Noise in Two Dimensions . . . 2104--2121
Warren R. Smith and
John R. King and
Brian Tuck Mathematical Modelling of
Electrical-Optical Effects in
Semiconductor Laser Operation . . . . . 2122--2147
Sebastian J. Schreiber Urn Models, Replicator Processes, and
Random Genetic Drift . . . . . . . . . . 2148--2167
A. Carpio and
S. J. Chapman and
J. L. L. Velázquez Pile-Up Solutions for Some Systems of
Conservation Laws Modelling Dislocation
Interaction in Crystals . . . . . . . . 2168--2199
Angela Stevens Erratum: ``The Derivation of Chemotaxis
Equations as Limit Dynamics of
Moderately Interacting Stochastic
Many-Particle Systems'' . . . . . . . . 2200--2200
Pierre A. Gremaud and
C. T. Kelley and
T. A. Royal and
Kristy A. Coffey On a Powder Consolidation Problem . . . 1--20
Vassily M. Babich and
Aleksei P. Kiselev and
James M. H. Lawry and
Alexander S. Starkov A Ray Description of All Wavefields
Generated by a High-Frequency Point
Source near an Interface . . . . . . . . 21--40
A. R. Galper and
T. Miloh Modified Slender Body Theory for a
Structure of Variable Cross-Section . . 41--57
Michael Y. Li and
Hal L. Smith and
Liancheng Wang Global Dynamics of an SEIR Epidemic
Model with Vertical Transmission . . . . 58--69
Paul F. Batcho The Energy Operator and New Scaling
Relations for the Incompressible
Navier--Stokes Equations . . . . . . . . 70--93
Carlos Alves and
Habib Ammari Boundary Integral Formulae for the
Reconstruction of Imperfections of Small
Diameter in an Elastic Medium . . . . . 94--106
Debra Polignone Warne and
Paul G. Warne An Asymptotic Finite Deformation
Analysis for an Isotropic Incompressible
Hyperelastic Half-Space Subjected to a
Tensile Point Load . . . . . . . . . . . 107--128
S. Heinze and
G. Papanicolaou and
A. Stevens Variational Principles for Propagation
Speeds in Inhomogeneous Media . . . . . 129--148
M. Bowen and
J. Hulshof and
J. R. King Anomalous Exponents and Dipole Solutions
for the Thin Film Equation . . . . . . . 149--179
Keith Promislow and
John M. Stockie Adiabatic Relaxation of
Convective-Diffusive Gas Transport in a
Porous Fuel Cell Electrode . . . . . . . 180--205
David J. Pinto and
G. Bard Ermentrout Spatially Structured Activity in
Synaptically Coupled Neuronal Networks:
I. Traveling Fronts and Pulses . . . . . 206--225
David J. Pinto and
G. Bard Ermentrout Spatially Structured Activity in
Synaptically Coupled Neuronal Networks:
II. Lateral Inhibition and Standing
Pulses . . . . . . . . . . . . . . . . . 226--243
S. I. Hariharan and
G. W. Young Comparison of Asymptotic Solutions of a
Phase-Field Model to a Sharp-Interface
Model . . . . . . . . . . . . . . . . . 244--263
Horacio G. Rotstein and
Simon Brandon and
Amy Novick-Cohen and
Alexander Nepomnyashchy Phase Field Equations with Memory: The
Hyperbolic Case . . . . . . . . . . . . 264--282
Helen J. Wearing and
Jonathan A. Sherratt Nonlinear Analysis of Juxtacrine
Patterns . . . . . . . . . . . . . . . . 283--309
Charles Knessl On Two-Dimensional Convection-Diffusion
Past a Circle . . . . . . . . . . . . . 310--335
Bingtuan Li and
Hal Smith How Many Species Can Two Essential
Resources Support? . . . . . . . . . . . 336--366
Ivo D. Dinov and
De Witt L. Sumners Applications of Frequency Dependent
Wavelet Shrinkage to Analyzing Quality
of Image Registration . . . . . . . . . 367--384
Qing Nie and
Fei-Ran Tian Singularities in Hele--Shaw Flows Driven
by a Multipole . . . . . . . . . . . . . 385--406
Ben Schweizer Bifurcation Analysis for Surface Waves
Generated by Wind . . . . . . . . . . . 407--423
G. Caginalp Renormalization Group Calculation of
Late Stage Interface Dynamics . . . . . 424--432
B. Nadler and
T. Naeh and
Z. Schuss The Stationary Arrival Process of
Independent Diffusers from a Continuum
to an Absorbing Boundary Is Poissonian 433--447
Clifford J. Nolan Permittivity Recovery from Multiple
Characteristic Electric Waves . . . . . 448--461
Yu. A. Kuznetsov and
O. De Feo and
S. Rinaldi Belyakov Homoclinic Bifurcations in a
Tritrophic Food Chain Model . . . . . . 462--487
Richard Haberman Slow Passage Through the Nonhyperbolic
Homoclinic Orbit Associated with a
Subcritical Pitchfork Bifurcation for
Hamiltonian Systems and the Change in
Action . . . . . . . . . . . . . . . . . 488--513
Prabir Daripa and
D. Palaniappan Generalized Circle and Sphere Theorems
for Inviscid and Viscous Flows . . . . . 514--540
Peter Grandits Frequent Hedging under Transaction Costs
and a Nonlinear Fokker--Planck PDE . . . 541--562
J. Loncaric and
V. S. Ryaben'kii and
S. V. Tsynkov Active Shielding and Control of Noise 563--596
Alain Bourgeat and
Olivier Gipouloux and
Eduard Marusic-Paloka Mathematical Modelling and Numerical
Simulation of a Non-Newtonian Viscous
Flow through a Thin Filter . . . . . . . 597--626
Stephen B. Margolis and
Melvin R. Baer A Singular-Perturbation Analysis of the
Burning-Rate Eigenvalue for a
Two-Temperature Model of Deflagrations
in Confined Porous Energetic Materials 627--663
Yuriy A. Gryazin and
Michael V. Klibanov and
Thomas R. Lucas Numerical Solution of a Subsurface
Imaging Inverse Problem . . . . . . . . 664--683
C. B. Clemons and
S. I. Hariharan and
D. D. Quinn Amplitude Equations for Time-Dependent
Solutions of the McKendrick Equations 684--705
Amitabha Bose and
Yair Manor and
Farzan Nadim Bistable Oscillations Arising from
Synaptic Depression . . . . . . . . . . 706--727
J. M. Greenberg Extensions and Amplifications of a
Traffic Model of Aw and Rascle . . . . . 729--745
R. H. Goodman and
A. J. Majda and
D. W. McLaughlin Modulations in the Leading Edges of
Midlatitude Storm Tracks . . . . . . . . 746--776
Leonid I. Piterbarg The Top Lyapunov Exponent for a
Stochastic Flow Modeling the Upper Ocean
Turbulence . . . . . . . . . . . . . . . 777--800
C. J. Budd Asymptotics of Multibump Blow-up
Self-Similar Solutions of the Nonlinear
Schrödinger Equation . . . . . . . . . . 801--830
Jiequan Li On the Two-Dimensional Gas Expansion for
Compressible Euler Equations . . . . . . 831--852
J. Dockery and
I. Klapper Finger Formation in Biofilm Layers . . . 853--869
B. I. Henry and
S. L. Wearne Existence of Turing Instabilities in a
Two-Species Fractional
Reaction-Diffusion System . . . . . . . 870--887
John A. Pelesko Mathematical Modeling of Electrostatic
MEMS with Tailored Dielectric Properties 888--908
Albert Fannjiang and
Tomasz Komorowski Diffusive and Nondiffusive Limits of
Transport in Nonmixing Flows . . . . . . 909--923
J. Vanneste Nonlinear Dynamics of Anisotropic
Disturbances in Plane Couette Flow . . . 924--944
Darren Crowdy On a Class of Geometry-Driven Free
Boundary Problems . . . . . . . . . . . 945--964
E. A. Cox and
M. P. Mortell and
S. Reck Nonlinear Standing and Resonantly Forced
Oscillations in a Tube with Slowly
Changing Length . . . . . . . . . . . . 965--989
N. P. Smith and
A. J. Pullan and
P. J. Hunter An Anatomically Based Model of Transient
Coronary Blood Flow in the Heart . . . . 990--1018
Tony F. Chan and
Jianhong Shen Mathematical Models for Local Nontexture
Inpaintings . . . . . . . . . . . . . . 1019--1043
Remco van der Hofstad and
Gerard Hooghiemstra and
Marten J. Klok Large Deviations for Code Division
Multiple Access Systems . . . . . . . . 1044--1065
Albert C. Fannjiang and
Youn-sha Chan and
Glaucio H. Paulino Strain Gradient Elasticity for Antiplane
Shear Cracks: a Hypersingular
Integrodifferential Equation Approach 1066--1091
E. Bonnetier and
A. Chambolle Computing the Equilibrium Configuration
of Epitaxially Strained Crystalline
Films . . . . . . . . . . . . . . . . . 1093--1121
Y. A. Antipov Diffraction of a Plane Wave by a
Circular Cone with an Impedance Boundary
Condition . . . . . . . . . . . . . . . 1122--1152
James K. Knowles Impact-Induced Tensile Waves in a
Rubberlike Material . . . . . . . . . . 1153--1175
C. Nikolopoulos A Model for Melting of a Pure Material
During Modulated Temperature
Differential Scanning Calorimetry . . . 1176--1196
Remus Osan and
Jonathan Rubin and
Bard Ermentrout Regular Traveling Waves in a
One-Dimensional Network of Theta Neurons 1197--1221
Hans G. Othmer and
Thomas Hillen The Diffusion Limit of Transport
Equations II: Chemotaxis Equations . . . 1222--1250
H. T. Banks and
S. C. Beeler and
G. M. Kepler and
H. T. Tran Reduced Order Modeling and Control of
Thin Film Growth in an HPCVD Reactor . . 1251--1280
Daniel B. Forger and
Richard E. Kronauer Reconciling Mathematical Models of
Biological Clocks by Averaging on
Approximate Manifolds . . . . . . . . . 1281--1296
Michael J. Ward and
Darragh McInerney and
Paul Houston and
David Gavaghan and
Philip Maini The Dynamics and Pinning of a Spike for
a Reaction-Diffusion System . . . . . . 1297--1328
John J. Benedetto and
Götz E. Pfander Periodic Wavelet Transforms and
Periodicity Detection . . . . . . . . . 1329--1368
Habib Ammari and
Gang Bao and
John L. Fleming An Inverse Source Problem for Maxwell's
Equations in Magnetoencephalography . . 1369--1382
Sungwhan Kim and
Ohin Kwon and
Jin Keun Seo Location Search Techniques for a
Grounded Conductor . . . . . . . . . . . 1383--1393
David L. Russell and
Luther W. White An Elementary Nonlinear Beam Theory with
Finite Buckling Deformation Properties 1394--1413
Dominique Désérable A Versatile Two-dimensional Cellular
Automata Network for Granular Flow . . . 1414--1436
Gadi Fibich and
Boaz Ilan and
George Papanicolaou Self-Focusing with Fourth-Order
Dispersion . . . . . . . . . . . . . . . 1437--1462
C. B. Muratov and
V. V. Osipov Stability of the Static Spike
Autosolitons in the Gray--Scott Model 1463--1487
Jean-François Collet and
Thierry Goudon and
Frédéric Poupaud and
Alexis Vasseur The Beker--Döring System and Its
Lifshitz--Slyozov Limit . . . . . . . . 1488--1500
P. Degond and
M. Lemou and
M. Picasso Viscoelastic Fluid Models Derived from
Kinetic Equations for Polymers . . . . . 1501--1519
R. S. Chadwick Axisymmetric Indentation of a Thin
Incompressible Elastic Layer . . . . . . 1520--1530
C. J. van Duijn and
A. Mikelic and
I. S. Pop Effective Equations for Two-Phase Flow
with Trapping on the Micro Scale . . . . 1531--1568
Stephen B. G. O'Brien Asymptotics of a Sequence of Pendant
Drops . . . . . . . . . . . . . . . . . 1569--1580
J. J. L. Velázquez Stability of Some Mechanisms of
Chemotactic Aggregation . . . . . . . . 1581--1633
Z. Feng and
M. Iannelli and
F. A. Milner A Two-Strain Tuberculosis Model with Age
of Infection . . . . . . . . . . . . . . 1634--1656
L. Pamela Cook and
Emeka Nwankwo and
Gilberto Schleiniger and
Bryan Wood Rapid, Unambiguous Polymer
Characterization by Flow-Referenced
Capillary Viscometry . . . . . . . . . . 1657--1676
Guillaume Bal Transport Through Diffusive and
Nondiffusive Regions, Embedded Objects,
and Clear Layers . . . . . . . . . . . . 1677--1697
Z. Schuss and
A. Spivak The Exit Distribution on the Stochastic
Separatrix in Kramers' Exit Problem . . 1698--1711
Cornelius O. Horgan and
Giuseppe Saccomandi and
Ivonne Sgura A Two-Point Boundary-Value Problem for
the Axial Shear of Hardening Isotropic
Incompressible Nonlinearly Elastic
Materials . . . . . . . . . . . . . . . 1712--1727
Don Jones and
Hristo V. Kojouharov and
Dung Le and
Hal Smith Bacterial Wall Attachment in a Flow
Reactor . . . . . . . . . . . . . . . . 1728--1771
Tobias Preusser and
Martin Rumpf A Level Set Method for Anisotropic
Geometric Diffusion in $3$D Image
Processing . . . . . . . . . . . . . . . 1772--1793
Can E. Korman and
Richard Barry and
Ulas C. Kozat On Binary Detection with Hysteresis . . 1794--1809
Fernando Varas and
José M. Vega Linear Stability of a Plane Front in
Solid Combustion at Large Heat of
Reaction . . . . . . . . . . . . . . . . 1810--1822
Jonathan Goodman and
Daniel N. Ostrov On the Early Exercise Boundary of the
American Put Option . . . . . . . . . . 1823--1835
Rouslan Krechetnikov and
Igor Lipatov Hidden Invariances in Problems of
Two-Dimensional and Three-Dimensional
Wall Jets for Newtonian and
Non-Newtonian Fluids . . . . . . . . . . 1837--1855
Y. B. Fu and
M. Sanjarani Pour WKB Method with Repeated Roots and Its
Application to the Buckling Analysis of
an Everted Cylindrical Tube . . . . . . 1856--1871
S. J. Chapman and
J.-M. Vanden-Broeck Exponential Asymptotics and Capillary
Waves . . . . . . . . . . . . . . . . . 1872--1898
Warren R. Smith Models for Solidification and Splashing
in Laser Percussion Drilling . . . . . . 1899--1923
David Iron and
Michael J. Ward The Dynamics of Multispike Solutions to
the One-Dimensional Gierer--Meinhardt
Model . . . . . . . . . . . . . . . . . 1924--1951
C. B. Clemons and
S. I. Hariharan and
G. W. Young Asymptotic Solutions of a Phase-Field
Model for Alloy Solidification . . . . . 1952--1979
A. Figotin and
A. Gordon and
S. Molchanov and
J. Quinn and
N. Stavrakas Occupancy Numbers in Testing Random
Number Generators . . . . . . . . . . . 1980--2011
Alexander Katsevich Theoretically Exact Filtered
Backprojection-Type Inversion Algorithm
for Spiral CT . . . . . . . . . . . . . 2012--2026
A. Borrelli and
C. O. Horgan and
M. C. Patria Saint-Venant's Principle for Antiplane
Shear Deformations of Linear
Piezoelectric Materials . . . . . . . . 2027--2044
Andreas Münch The Thickness of a Marangoni-Driven Thin
Liquid Film Emerging from a Meniscus . . 2045--2063
Graeme W. Milton and
Knut Sòlna Can Mixing Materials Make
Electromagnetic Signals Travel Faster? 2064--2091 (electronic)
Thomas Dierkes and
Oliver Dorn and
Frank Natterer and
Victor Palamodov and
Helmut Sielschott Fréchet Derivatives for Some Bilinear
Inverse Problems . . . . . . . . . . . . 2092--2113
Louis F. Rossi and
James Graham-Eagle On the Existence of Two-Dimensional,
Localized, Rotating, Self-Similar
Vortical Structures . . . . . . . . . . 2114--2128
Mansoor A. Haider and
Stephen P. Shipman and
Stephanos Venakides Boundary-Integral Calculations of
Two-Dimensional Electromagnetic
Scattering in Infinite Photonic Crystal
Slabs: Channel Defects and Resonances 2129--2148
Weifu Fang and
Kazufumi Ito and
David A. Redfern Parameter Identification for
Semiconductor Diodes by LBIC Imaging . . 2149--2174
J. da Mota and
W. Dantas and
D. Marchesin Combustion Fronts in Porous Media . . . 2175--2198
Alexandra Indeikina and
Hsueh-Chia Chang Estimate of Turbulent Eddy Diffusion by
Exact Renormalization . . . . . . . . . 1--41
Allen M. Tesdall and
John K. Hunter Self-Similar Solutions for Weak Shock
Reflection . . . . . . . . . . . . . . . 42--61
Carlo R. Laing and
William C. Troy and
Boris Gutkin and
G. Bard Ermentrout Multiple Bumps in a Neuronal Model of
Working Memory . . . . . . . . . . . . . 62--97
David A. Edwards and
Richard A. Cairncross Desorption Overshoot in
Polymer-Penetrant Systems: Asymptotic
and Computational Results . . . . . . . 98--115
Leonid I. Piterbarg and
Tamay M. Özgökmen A Simple Prediction Algorithm for the
Lagrangian Motion in Two-Dimensional
Turbulent Flows . . . . . . . . . . . . 116--148
Brenna Argall and
Eugene Cheleshkin and
J. M. Greenberg and
Colin Hinde and
Pei-Jen Lin A Rigorous Treatment of a
Follow-the-Leader Traffic Model with
Traffic Lights Present . . . . . . . . . 149--168
Debra Polignone Warne and
Paul G. Warne An Asymptotic Finite Deformation
Analysis for an Isotropic Compressible
Hyperelastic Half-Space Subjected to a
Tensile Point Load . . . . . . . . . . . 169--194
Daphne Zelig and
Shimon Haber Hydrodynamic Cleansing of Pulmonary
Alveoli . . . . . . . . . . . . . . . . 195--221
John A. Morrison and
K. G. Ramakrishnan Asymptotic Solution to an Inverse
Problem for a Shared Unbuffered Resource 222--240
Yang Xiang Derivation of a Continuum Model for
Epitaxial Growth with Elasticity on
Vicinal Surface . . . . . . . . . . . . 241--258
A. Aw and
A. Klar and
T. Materne and
M. Rascle Derivation of Continuum Traffic Flow
Models from Microscopic
Follow-the-Leader Models . . . . . . . . 259--278
Pierre Degond and
Kaijun Zhang Diffusion Approximation of a Scattering
Matrix Model of a Semiconductor
Superlattice . . . . . . . . . . . . . . 279--298
A. C. Fowler and
Michael C. Mackey Relaxation Oscillations in a Class of
Delay Differential Equations . . . . . . 299--323
Karl A. Tomlinson and
Peter J. Hunter and
Andrew J. Pullan A Finite Element Method for an Eikonal
Equation Model of Myocardial Excitation
Wavefront Propagation . . . . . . . . . 324--350
T. Dumont and
S. Génieys and
M. Massot and
V. A. Volpert Interaction of Thermal Explosion and
Natural Convection: Critical Conditions
and New Oscillating Regimes . . . . . . 351--372
B. Mudavanhu and
R. E. O'Malley, Jr. A New Renormalization Method for the
Asymptotic Solution of Weakly Nonlinear
Vector Systems . . . . . . . . . . . . . 373--397
Charles Knessl and
Doo Il Choi and
Charles Tier A Dynamic Priority Queue Model for
Simultaneous Service of Two Traffic
Types . . . . . . . . . . . . . . . . . 398--422
Z. Mei and
A. J. Roberts and
Zhenquan Li Modelling the Dynamics of Turbulent
Floods . . . . . . . . . . . . . . . . . 423--458
Arnaud Tonnelier The McKean's Caricature of the
Fitzhugh--Nagumo Model I. The
Space-Clamped System . . . . . . . . . . 459--484
Jianbo Yang and
Serafim Kalliadasis and
John H. Merkin and
Stephen K. Scott Wave Propagation in Spatially
Distributed Excitable Media . . . . . . 485--509
Gregory A. Ruderman and
D. Scott Stewart and
Jack Jai-ick Yoh A Thermomechanical Model for Energetic
Materials with Phase Transformations . . 510--537
Jack Jai-ick Yoh and
D. Scott Stewart and
Gregory A. Ruderman A Thermomechanical Model for Energetic
Materials with Phase Transformations:
Analysis of Simple Motions . . . . . . . 538--563
Tony F. Chan and
Sung Ha Kang and
Jianhong Shen Euler's Elastica and Curvature-Based
Inpainting . . . . . . . . . . . . . . . 564--592
Alfred S. Carasso The APEX Method in Image Sharpening and
the Use of Low Exponent Lévy Stable Laws 593--618
A. Carpio and
L. L. Bonilla Pulse Propagation in Discrete Systems of
Coupled Excitable Cells . . . . . . . . 619--635
Huaiping Zhu and
Sue Ann Campbell and
Gail S. K. Wolkowicz Bifurcation Analysis of a Predator-Prey
System with Nonmonotonic Functional
Response . . . . . . . . . . . . . . . . 636--682
N. Calvo and
J. I. Díaz and
J. Durany and
E. Schiavi and
C. Vázquez On a Doubly Nonlinear Parabolic Obstacle
Problem Modelling Ice Sheet Dynamics . . 683--707
Rinaldo M. Colombo Hyperbolic Phase Transitions in Traffic
Flow . . . . . . . . . . . . . . . . . . 708--721
Robert Buckingham and
Michael Shearer and
Andrea Bertozzi Thin Film Traveling Waves and the Navier
Slip Condition . . . . . . . . . . . . . 722--744
Dmitry E. Pelinovsky and
Vadim Zharnitsky Averaging of Dispersion-Managed
Solitons: Existence and Stability . . . 745--776
Maarten V. de Hoop and
A. K. Gautesen Uniform Asymptotic Expansion of the
Square-Root Helmholtz Operator and the
One-Way Wave Propagator . . . . . . . . 777--800
Mattias Liefvendahl and
Gunilla Kreiss Analytical and Numerical Investigation
of the Resolvent for Plane Couette Flow 801--817
J. M. Greenberg and
A. Klar and
M. Rascle Congestion on Multilane Highways . . . . 818--833
O. G. Harlen and
M. J. Holmes and
M. J. W. Povey and
B. D. Sleeman Acoustic Propagation in Dispersions and
the Geometric Theory of Diffraction . . 834--849
B. Nadler and
T. Naeh and
Z. Schuss Connecting a Discrete Ionic Simulation
to a Continuum . . . . . . . . . . . . . 850--873
Hiêú D. Nguyêñ Decay of KdV Solitons . . . . . . . . . 874--888
Peter A. Braza The Bifurcation Structure of the
Holling--Tanner Model for Predator-Prey
Interactions Using Two-Timing . . . . . 889--904
André Nachbin A Terrain-Following Boussinesq System 905--922
Luis H. R. Alvarez On the Convexity and Risk-Sensitivity of
the Price of American Interest Rate
Derivatives . . . . . . . . . . . . . . 923--936
Antonio L. Sánchez and
Jose L. Jimenez-Alvarez and
Amable Linan The Coupling of Motion and Conductive
Heating of a Gas by Localized Energy
Sources . . . . . . . . . . . . . . . . 937--961
K. D. Dorfman and
H. Brenner Generalized Taylor--Aris Dispersion in
Spatially Periodic Microfluidic
Networks. Chemical Reactions . . . . . . 962--986
A. B. Movchan and
G. W. Milton and
S. K. Serkov Realizable (Average Stress, Average
Strain) Pairs in a Plate with Holes . . 987--1028
Gregory M. Lewis and
Wayne Nagata Double Hopf Bifurcations in the
Differentially Heated Rotating Annulus 1029--1055
A. Carpio and
L. L. Bonilla Depinning Transitions in Discrete
Reaction-Diffusion Equations . . . . . . 1056--1082
Stephen B. Margolis and
Timothy J. Gardner An Asymptotic Model of Nonadiabatic
Catalytic Flames in Stagnation-Point
Flow . . . . . . . . . . . . . . . . . . 1083--1103
Hongxue Cai and
Richard Chadwick Radial Structure of Traveling Waves in
the Inner Ear . . . . . . . . . . . . . 1105--1120
Kurt M. Berger and
Paul A. Milewski Simulation of Wave Interactions and
Turbulence in One-Dimensional Water
Waves . . . . . . . . . . . . . . . . . 1121--1140
J. Loncaric and
S. V. Tsynkov Optimization of Acoustic Source Strength
in the Problems of Active Noise Control 1141--1183
A. C. Fowler and
P. D. Howell Intermittency in the Transition to
Turbulence . . . . . . . . . . . . . . . 1184--1207
Duane Q. Nykamp White Noise Analysis of Coupled
Linear-Nonlinear Systems . . . . . . . . 1208--1230
Vemuri Balakotaiah and
Hsueh-Chia Chang Hyperbolic Homogenized Models for
Thermal and Solutal Dispersion . . . . . 1231--1258
V. Gubernov and
G. N. Mercer and
H. S. Sidhu and
R. O. Weber Evans Function Stability of Combustion
Waves . . . . . . . . . . . . . . . . . 1259--1275
Hyeonbae Kang and
EunJoo Kim and
Kyoungsun Kim Anisotropic Polarization Tensors and
Detection of an Anisotropic Inclusion 1276--1291
D. Russell Luke and
Roland Potthast The No Response Test---A Sampling Method
for Inverse Scattering Problems . . . . 1292--1312
Patrick De Leenheer and
Hal L. Smith Virus Dynamics: a Global Analysis . . . 1313--1327
Albert Fannjiang and
Shi Jin and
George Papanicolaou High Frequency Behavior of the Focusing
Nonlinear Schrödinger Equation with
Random Inhomogeneities . . . . . . . . . 1328--1358
Hannes Uecker Approximation of the Integral Boundary
Layer Equation by the
Kuramoto--Sivashinsky Equation . . . . . 1359--1377
Fabio Dercole and
Jean-Olivier Irisson and
Sergio Rinaldi Bifurcation Analysis of a Prey-Predator
Coevolution Model . . . . . . . . . . . 1378--1391
M. Vynnycky and
E. Birgersson Analysis of a Model for Multicomponent
Mass Transfer in the Cathode of a
Polymer Electrolyte Fuel Cell . . . . . 1392--1423
Dehua Wang Large Solutions to the Initial-Boundary
Value Problem for Planar
Magnetohydrodynamics . . . . . . . . . . 1424--1441
V. G. Daniele The Wiener--Hopf Technique for
Impenetrable Wedges Having Arbitrary
Aperture Angle . . . . . . . . . . . . . 1442--1460
Jeyabal Sivaloganathan and
Scott J. Spector Myriad Radial Cavitating Equilibria in
Nonlinear Elasticity . . . . . . . . . . 1461--1473
Guillaume Bal and
Leonid Ryzhik Time Reversal and Refocusing in Random
Media . . . . . . . . . . . . . . . . . 1475--1498
Huaxiong Huang and
Robert M. Miura and
William P. Ireland and
Ernest Puil Heat-Induced Stretching of a Glass Tube
Under Tension: Application to Glass
Microelectrodes . . . . . . . . . . . . 1499--1519
Jonathan A. Sherratt Periodic Travelling Wave Selection by
Dirichlet Boundary Conditions in
Oscillatory Reaction-Diffusion Systems 1520--1538
Randall J. LeVeque and
Darryl H. Yong Solitary Waves in Layered Nonlinear
Media . . . . . . . . . . . . . . . . . 1539--1560
Alexandros Sopasakis Formal Asymptotic Models of Vehicular
Traffic. Model Closures . . . . . . . . 1561--1584
V. W. Noonburg and
D. Benardete and
B. Pollina A Periodically Forced Wilson--Cowan
System . . . . . . . . . . . . . . . . . 1585--1603
M. G. Blyth and
P. Hall Oscillatory Flow Near a Stagnation Point 1604--1614
Takashi Nishikawa and
Frank C. Hoppensteadt System of Phase Oscillators with
Diagonalizable Interaction . . . . . . . 1615--1626
Jonathan D. Drover and
Bard Ermentrout Nonlinear Coupling near a Degenerate
Hopf (Bautin) Bifurcation . . . . . . . 1627--1647
J.-P. Fouque and
G. Papanicolaou and
R. Sircar and
K. Sòlna Singular Perturbations in Option Pricing 1648--1665
K. A. Landman and
G. J. Pettet and
D. F. Newgreen Chemotactic Cellular Migration: Smooth
and Discontinuous Travelling Wave
Solutions . . . . . . . . . . . . . . . 1666--1681
Jan Bouwe van den Berg and
Josephus Hulshof and
John R. King Formal Asymptotics of Bubbling in the
Harmonic Map Heat Flow . . . . . . . . . 1682--1717
G. Fibich and
B. Ilan and
S. Tsynkov Backscattering and Nonparaxiality Arrest
Collapse of Damped Nonlinear Waves . . . 1718--1736
M. Slemrod The Radio-Frequency Driven Plasma
Sheath: Asymptotics and Analysis . . . . 1737--1763
Knut Sòlna Acoustic Pulse Spreading in a Random
Fractal . . . . . . . . . . . . . . . . 1764--1788
J. Fröhlich and
M. Uhlmann Orthonormal Polynomial Wavelets on the
Interval and Applications to the
Analysis of Turbulent Flow Fields . . . 1789--1830
L. R. Ritter and
W. E. Olmstead and
V. A. Volpert Initiation of Free-Radical
Polymerization Waves . . . . . . . . . . 1831--1848
Nianqing Wang and
Peter Smereka Effective Equations for Sound and Void
Wave Propagation in Bubbly Fluids . . . 1849--1888
Hailiang Liu and
Eitan Tadmor Critical Thresholds in $2$D Restricted
Euler--Poisson Equations . . . . . . . . 1889--1910
I. A. Frigaard and
G. Ngwa and
O. Scherzer On Effective Stopping Time Selection for
Visco-Plastic Nonlinear BV Diffusion
Filters Used in Image Denoising . . . . 1911--1934
Eugene M. Izhikevich and
Frank C. Hoppensteadt Slowly Coupled Oscillators: Phase
Dynamics and Synchronization . . . . . . 1935--1953
K. Renee Fister and
John Carl Panetta Optimal Control Applied to Competing
Chemotherapeutic Cell-Kill Strategies 1954--1971
Clodoaldo Grotta Ragazzo On the Motion of Solids Through an Ideal
Liquid: Approximated Equations for Many
Body Systems . . . . . . . . . . . . . . 1972--1997
Horacio G. Rotstein and
Nancy Kopell and
Anatol M. Zhabotinsky and
Irving R. Epstein A Canard Mechanism for Localization in
Systems of Globally Coupled Oscillators 1998--2019
G. Al\`\i Low Mach Number Flows in Time-Dependent
Domains . . . . . . . . . . . . . . . . 2020--2041
Albert Fannjiang and
Tomasz Komorowski Frozen Path Approximation for Turbulent
Diffusion and Fractional Brownian Motion
in Random Flows . . . . . . . . . . . . 2042--2062
J. F. M. Al-Omari and
S. A. Gourley Stability and Traveling Fronts in
Lotka--Volterra Competition Models with
Stage Structure . . . . . . . . . . . . 2063--2086
S. J. Chapman and
D. R. Heron A Hierarchy of Models for
Superconducting Thin Films . . . . . . . 2087--2127
Gilles Aubert and
Michel Barlaud and
Olivier Faugeras and
Stéphanie Jehan-Besson Image Segmentation Using Active
Contours: Calculus of Variations or
Shape Gradients? . . . . . . . . . . . . 2128--2154
John A. Morrison Asymptotic Shape of the Erlang Capacity
Region of a Critically Loaded
Multiservice Shared Resource . . . . . . 1--17
James J. Kriegsmann and
Michael J. Miksis Steady Motion of a Drop along a Liquid
Interface . . . . . . . . . . . . . . . 18--40
Stefan Berres and
Raimund Bürger and
Kenneth H. Karlsen and
Elmer M. Tory Strongly Degenerate Parabolic-Hyperbolic
Systems Modeling Polydisperse
Sedimentation with Compression . . . . . 41--80
Sergei S. Pilyugin and
Paul Waltman Divergence Criterion for Generic Planar
Systems . . . . . . . . . . . . . . . . 81--93
Tanya L. Leise and
Jay R. Walton A Method for Solving Dynamically
Accelerating Crack Problems in Linear
Viscoelasticity . . . . . . . . . . . . 94--107
Martin Burger and
René Pinnau Fast Optimal Design of Semiconductor
Devices . . . . . . . . . . . . . . . . 108--126
John A. Morrison and
Debasis Mitra Asymptotic Shape of the Erlang Capacity
Region of a Multiservice Shared Resource 127--151
Kevin T. Andrews and
L. Chapman and
J. R. Fernández and
M. Fisackerly and
M. Shillor and
L. Vanerian and
T. VanHouten A Membrane in Adhesive Contact . . . . . 152--169
Niklas Wellander and
Gerhard Kristensson Homogenization of the Maxwell Equations
at Fixed Frequency . . . . . . . . . . . 170--195
Matthias K. Gobbert and
Christian Ringhofer A Homogenization Technique for the
Boltzmann Equation for Low Pressure
Chemical Vapor Deposition . . . . . . . 196--215
Stefanella Boatto and
Hildeberto E. Cabral Nonlinear Stability of a Latitudinal
Ring of Point-Vortices on a Nonrotating
Sphere . . . . . . . . . . . . . . . . . 216--230
P. H. Edelman and
S. W. Peterson and
V. Reiner and
J. H. Stout Geochemical Phase Diagrams and Gale
Diagrams . . . . . . . . . . . . . . . . 231--259
Julien Arino and
C. Connell McCluskey and
P. van den Driessche Global Results for an Epidemic Model
with Vaccination that Exhibits Backward
Bifurcation . . . . . . . . . . . . . . 260--276
Jing Wang and
Robert Gulliver and
Fadil Santosa Analysis of a Variational Approach to
Progressive Lens Design . . . . . . . . 277--296
P. A. Martin Acoustic Scattering by Inhomogeneous
Obstacles . . . . . . . . . . . . . . . 297--308
B. A. Pettersson Reif and
O. Andreassen On Local Isotropy in Stratified
Homogeneous Turbulence . . . . . . . . . 309--321
Stephen P. Shipman and
Stephanos Venakides Resonance and Bound States in Photonic
Crystal Slabs . . . . . . . . . . . . . 322--342
Zhi-Min Chen and
Michael Ghil and
Eric Simonnet and
Shouhong Wang Hopf Bifurcation in Quasi-geostrophic
Channel Flow . . . . . . . . . . . . . . 343--368
Peter R. Kramer and
Andrew J. Majda Stochastic Mode Reduction for the
Immersed Boundary Method . . . . . . . . 369--400
Peter R. Kramer and
Andrew J. Majda Stochastic Mode Reduction for
Particle-Based Simulation Methods for
Complex Microfluid Systems . . . . . . . 401--422
Ehud Yariv and
Howard Brenner The Electrophoretic Mobility of a
Closely Fitting Sphere in a Cylindrical
Pore . . . . . . . . . . . . . . . . . . 423--441
Michael Hintermüller and
Wolfgang Ring A Second Order Shape Optimization
Approach for Image Segmentation . . . . 442--467
Marco Günther and
Axel Klar and
Thorsten Materne and
Raimund Wegener Multivalued Fundamental Diagrams and
Stop and Go Waves for Continuum Traffic
Flow Equations . . . . . . . . . . . . . 468--483
Patrick Hagerty and
Anthony M. Bloch and
Michael I. Weinstein Radiation Induced Instability . . . . . 484--524
J. Elschner and
G. C. Hsiao and
A. Rathsfeld Grating Profile Reconstruction Based on
Finite Elements and Optimization
Techniques . . . . . . . . . . . . . . . 525--545
Natasha Flyer and
Bengt Fornberg On the Nature of Initial-Boundary Value
Solutions for Dispersive Equations . . . 546--564
Edward W. Larsen and
Guido Thömmes and
Axel Klar New Frequency-Averaged Approximations to
the Equations of Radiative Heat Transfer 565--582
Pierre A. Gremaud and
John V. Matthews and
David G. Schaeffer Secondary Circulation in Granular Flow
Through Nonaxisymmetric Hoppers . . . . 583--600
Habib Ammari and
Faouzi Triki Resonances for Microstrip Transmission
Lines . . . . . . . . . . . . . . . . . 601--636
Weihua Ruan and
M. E. Clark and
Meide Zhao and
Anthony Curcio A Hyperbolic System of Equations of
Blood Flow in an Arterial Network . . . 637--667
M. Droske and
M. Rumpf A Variational Approach to Nonrigid
Morphological Image Registration . . . . 668--687
Tri Van and
Aihua Wood Analysis of Transient Electromagnetic
Scattering from Overfilled Cavities . . 688--708
Fioralba Cakoni and
David Colton The Determination of the Surface
Impedance of a Partially Coated Obstacle
from Far Field Data . . . . . . . . . . 709--723
Hongkai Zhao Analysis of the Response Matrix for an
Extended Target . . . . . . . . . . . . 725--745
Vyacheslav M. Abramov Asymptotic Behavior of the Number of
Lost Messages . . . . . . . . . . . . . 746--761
David C. Dobson and
Fadil Santosa Optimal Localization of Eigenfunctions
in an Inhomogeneous Medium . . . . . . . 762--774
Harald Garcke and
Britta Nestler and
Bjorn Stinner A Diffuse Interface Model for Alloys
with Multiple Components and Phases . . 775--799
I. V. Barashenkov and
E. V. Zemlyanaya Traveling Solitons in the Damped-Driven
Nonlinear Schrödinger Equation . . . . . 800--818
John Hong and
Blake Temple A Bound on the Total Variation of the
Conserved Quantities for Solutions of a
General Resonant Nonlinear Balance Law 819--857
Philipp Kügler A Parameter Identification Problem of
Mixed Type Related to the Manufacture of
Car Windshields . . . . . . . . . . . . 858--877
Nikolai Andrianov and
Gerald Warnecke On the Solution to The Riemann Problem
for the Compressible Duct Flow . . . . . 878--901
Nuutti Hyvönen Complete Electrode Model of Electrical
Impedance Tomography: Approximation
Properties and Characterization of
Inclusions . . . . . . . . . . . . . . . 902--931
Daniel M. Keenan and
Paula A. Shorter Simulation by Diffusion on a Manifold
with Boundary: Applications to
Ultrasonic Prenatal Medical Imaging . . 932--960
Shimon Haber Exact Similarity Solutions of Coupled
Nonsteady Navier--Stokes and Energy
Equations in Liquids . . . . . . . . . . 961--976
Juan Carlos Muñoz Grajales and
André Nachbin Dispersive Wave Attenuation Due to
Orographic Forcing . . . . . . . . . . . 977--1001
L. Berlyand and
E. Khruslov Homogenized Non-Newtonian Viscoelastic
Rheology of a Suspension of Interacting
Particles in a Viscous Newtonian Fluid 1002--1034
C. M. Linton and
P. A. Martin Semi-Infinite Arrays of Isotropic Point
Scatterers. A Unified Approach . . . . . 1035--1056
Christophe Hazard and
Karim Ramdani Selective Acoustic Focusing Using
Time-Harmonic Reversal Mirrors . . . . . 1057--1076
Kamel Hamdache and
Mouhcine Tilioua Interlayer Exchange Coupling for
Ferromagnets through Spacers . . . . . . 1077--1097
Ehud Yariv and
Howard Brenner and
Sangtae Kim Curvature-Induced Dispersion in
Electro-Osmotic Serpentine Flows . . . . 1099--1124
F. Bass and
V. Freilikher and
A. A. Maradudin and
V. Prosentsov Geometrical Optics Approximation for
Nonlinear Equations . . . . . . . . . . 1125--1132
George Papanicolaou and
Leonid Ryzhik and
Knut Sòlna Statistical Stability in Time Reversal 1133--1155
Pierre-Louis Bazin and
Mireille Boutin Structure from Motion: a New Look from
the Point of View of Invariant Theory 1156--1174
J. M. Greenberg Congestion Redux . . . . . . . . . . . . 1175--1185
Richard S. Chadwick and
Brett Shoelson and
Hongxue Cai Surface Green's Functions for an
Incompressible, Transversely Isotropic
Elastic Half-Space . . . . . . . . . . . 1186--1197
J. J. L. Velázquez Point Dynamics in a Singular Limit of
the Keller--Segel Model 1: Motion of the
Concentration Regions . . . . . . . . . 1198--1223
J. J. L. Velázquez Point Dynamics in a Singular Limit of
the Keller--Segel Model 2: Formation of
the Concentration Regions . . . . . . . 1224--1248
Guan Jun Wang and
Jacques Beaumont Parameter Estimation of the
Hodgkin--Huxley Gating Model: An
Inversion Procedure . . . . . . . . . . 1249--1267
Aytac Ilhan and
Mattias Jonsson and
Ronnie Sircar Singular Perturbations for Boundary
Value Problems Arising from Exotic
Options . . . . . . . . . . . . . . . . 1268--1293
James P. Gleeson and
Olivia M. Roche and
Jonathan West and
Anne Gelb Modelling Annular Micromixers . . . . . 1294--1310
M. Hintermüller and
K. Kunisch Total Bounded Variation Regularization
as a Bilaterally Constrained
Optimization Problem . . . . . . . . . . 1311--1333
Darren Crowdy and
Jonathan Marshall Constructing Multiply Connected
Quadrature Domains . . . . . . . . . . . 1334--1359
Dmitry E. Pelinovsky and
Jianke Yang Parametric Resonance and Radiative Decay
of Dispersion-Managed Solitons . . . . . 1360--1382
Oleg N. Kirillov and
Alexander P. Seyranian Collapse of the Keldysh Chains and
Stability of Continuous Nonconservative
Systems . . . . . . . . . . . . . . . . 1383--1407
Frank Olyslager Discretization of Continuous Spectra
Based on Perfectly Matched Layers . . . 1408--1433
Eliana S. Antoniou and
John K. Bechtold and
Moshe Matalon A Diffusional-Thermal Theory of
Near-Stoichiometric Premixed Flames . . 1434--1456
Ch. Auer and
F. Schürrer and
W. Koller A Semicontinuous Formulation of the
Bloch--Boltzmann--Peierls Equations . . 1457--1475
Nir A. Sochen and
Chen Sagiv and
Ron Kimmel Stereographic Combing a Porcupine or
Studies on Direction Diffusion in Image
Processing . . . . . . . . . . . . . . . 1477--1508
Klemens Fellner and
Christian Schmeiser Burgers--Poisson: a Nonlinear Dispersive
Model Equation . . . . . . . . . . . . . 1509--1525
Thierry Goudon and
Oscar Sánchez and
Juan Soler and
Luis L. Bonilla Low-Field Limit for a Nonlinear Discrete
Drift-Diffusion Model Arising in
Semiconductor Superlattices Theory . . . 1526--1549
Olivier Faugeras and
Gerardo Hermosillo Well-Posedness of Two Nonrigid
Multimodal Image Registration Methods 1550--1587
Mansoor A. Haider A Radial Biphasic Model for Local
Cell-Matrix Mechanics in Articular
Cartilage . . . . . . . . . . . . . . . 1588--1608
Jonathan E. Rubin and
William C. Troy Sustained Spatial Patterns of Activity
in Neuronal Populations without
Recurrent Excitation . . . . . . . . . . 1609--1635
D. Aregba-Driollet and
F. Diele and
R. Natalini A Mathematical Model for the Sulphur
Dioxide Aggression to Calcium Carbonate
Stones: Numerical Approximation and
Asymptotic Analysis . . . . . . . . . . 1636--1667
Paul C. Bressloff Euclidean Shift-Twist Symmetry in
Population Models of Self-Aligning
Objects . . . . . . . . . . . . . . . . 1668--1690
Jianhong Shen Bayesian Video Dejittering by the BV
Image Model . . . . . . . . . . . . . . 1691--1708
N. Ben Abdallah and
I. M. Gamba and
Axel Klar The Milne Problem for High Field Kinetic
Equations . . . . . . . . . . . . . . . 1709--1736
Wen-An Yong Diffusive Relaxation Limit of
Multidimensional Isentropic
Hydrodynamical Models for Semiconductors 1737--1748
Alfred S. Carasso Singular Integrals, Image Smoothness,
and the Recovery of Texture in Image
Deblurring . . . . . . . . . . . . . . . 1749--1774
C. J. Budd and
V. A. Galaktionov and
J. F. Williams Self-Similar Blow-Up in Higher-Order
Semilinear Parabolic Equations . . . . . 1775--1809
Jean-Pierre Fouque and
Josselin Garnier and
André Nachbin Time Reversal for Dispersive Waves in
Random Media . . . . . . . . . . . . . . 1810--1838
Jon Wilkening and
Len Borucki and
J. A. Sethian Analysis of Stress-Driven Grain Boundary
Diffusion. Part I . . . . . . . . . . . 1839--1863
Jon Wilkening and
Len Borucki and
J. A. Sethian Analysis of Stress-Driven Grain Boundary
Diffusion. Part II: Degeneracy . . . . . 1864--1886
Paolo Podio-Guidugli and
Giuseppe Tomassetti On the Evolution of Domain Walls in Hard
Ferromagnets . . . . . . . . . . . . . . 1887--1906
Masaru Ikehata and
Samuli Siltanen Numerical Solution of the Cauchy Problem
for the Stationary Schrödinger Equation
Using Faddeev's Green Function . . . . . 1907--1932
C. Ringhofer and
M. Nedjalkov and
H. Kosina and
S. Selberherr Semiclassical Approximation of
Electron-Phonon Scattering Beyond
Fermi's Golden Rule . . . . . . . . . . 1933--1953
B. Lars G. Jonsson and
Mats Gustafsson and
Vaughan H. Weston and
Maarten V. de Hoop Retrofocusing of Acoustic Wave Fields by
Iterated Time Reversal . . . . . . . . . 1954--1986
Philippe Destuynder and
Jocelyne Vétillard A Noise Control Problem Arising in a
Flow Duct . . . . . . . . . . . . . . . 1987--2017
Habib Ammari and
Fadil Santosa Guided Waves in a Photonic Bandgap
Structure with a Line Defect . . . . . . 2018--2033
X. Guo and
Q. Zhang Closed-Form Solutions for Perpetual
American Put Options with Regime
Switching . . . . . . . . . . . . . . . 2034--2049
Gregory H. Miller Minimal Rotationally Invariant Bases for
Hyperelasticity . . . . . . . . . . . . 2050--2075
Antoine Saucier and
Jean-Yves Degorce and
Michel Meunier Analytical Solutions of a Growth Model
for a Melt Region Induced by a Focused
Laser Beam . . . . . . . . . . . . . . . 2076--2095
Thomas J. Bridges and
Fiona E. Laine-Pearson Nonlinear Counterpropagating Waves,
Multisymplectic Geometry, and the
Instability of Standing Waves . . . . . 2096--2120
Tiziana Armano and
Paolo Cermelli Noncrystallographic Motion of a
Dislocation as a Fine Mixture of
Rectilinear Paths . . . . . . . . . . . 2121--2143
Omar K. Matar and
Satish Kumar Rupture of a Surfactant-Covered Thin
Liquid Film on a Flexible Wall . . . . . 2144--2166
Bogdan G. Nita and
Kenneth H. Matson and
Arthur B. Weglein Forward Scattering Series and Seismic
Events: Far Field Approximations,
Critical and Postcritical Events . . . . 2167--2185
Jacob Rubinstein and
Michelle Schatzman and
Peter Sternberg Ginzburg--Landau Model in Thin Loops
with Narrow Constrictions . . . . . . . 2186--2204
Jia Li and
Yican Zhou and
Zhien Ma and
James M. Hyman Epidemiological Models for Mutating
Pathogens . . . . . . . . . . . . . . . 1--23
G. A. Kriegsmann Complete Transmission Through a
Two-Dimensional Diffraction Grating . . 24--42
Y. Efendiev and
A. Pankov Numerical Homogenization and Correctors
for Nonlinear Elliptic Equations . . . . 43--68
Jonathan Drover and
Jonathan Rubin and
Jianzhong Su and
Bard Ermentrout Analysis of a Canard Mechanism by Which
Excitatory Synaptic Coupling Can
Synchronize Neurons at Low Firing
Frequencies . . . . . . . . . . . . . . 69--92
T. Komorowski and
P. Widelski Computation of the Effective Diffusivity
Tensor for Transport of a Passive Scalar
in a Turbulent Incompressible Flow . . . 93--112
Nicoleta B\^\ila Application of Symmetry Analysis to a
PDE Arising in the Car Windshield Design 113--130
Paul C. Bressloff and
Stefanos E. Folias Front Bifurcations in an Excitatory
Neural Network . . . . . . . . . . . . . 131--151
Chad M. Topaz and
Andrea L. Bertozzi Swarming Patterns in a Two-Dimensional
Kinematic Model for Biological Groups 152--174
Ole H. Hald and
Aleksei I. Shestakov Stability of Stationary Solutions of the
Multifrequency Radiation Diffusion
Equations . . . . . . . . . . . . . . . 175--193
Houssem Haddar and
Rainer Kress On the Fréchet Derivative for Obstacle
Scattering with an Impedance Boundary
Condition . . . . . . . . . . . . . . . 194--208
Jianhua Wu and
Hua Nie and
Gail S. K. Wolkowicz A Mathematical Model of Competition for
Two Essential Resources in the Unstirred
Chemostat . . . . . . . . . . . . . . . 209--229
E. A. Glasman and
A. A. Golovin and
A. A. Nepomnyashchy Instabilities of Wavy Patterns Governed
by Coupled Burgers Equations . . . . . . 230--251
Habib Ammari and
Ohin Kwon and
Jin Keun Seo and
Eung Je Woo T-Scan Electrical Impedance Imaging
System for Anomaly Detection . . . . . . 252--266
A. R. Champneys and
W. B. Fraser Resonance Tongue Interaction in the
Parametrically Excited Column . . . . . 267--298
Robert Lipton and
Tungyang Chen Bounds and Extremal Configurations for
the Torsional Rigidity of Coated Fiber
Reinforced Shafts . . . . . . . . . . . 299--315
Sue Ann Campbell and
R. Edwards and
P. van den Driessche Delayed Coupling Between Two Neural
Network Loops . . . . . . . . . . . . . 316--335
Howard A. Levine and
Joanna Renclawowicz Singularity Formation in Chemotaxis---A
Conjecture of Nagai . . . . . . . . . . 336--360
Radek Erban and
Hans G. Othmer From Individual to Collective Behavior
in Bacterial Chemotaxis . . . . . . . . 361--391
Alexey Kuznetsov and
Mads Kærn and
Nancy Kopell Synchrony in a Population of
Hysteresis-Based Genetic Oscillators . . 392--425
Andrea Corli and
Haitao Fan The Riemann Problem for Reversible
Reactive Flows with Metastability . . . 426--457
Changhao Lin and
Lawrence E. Payne Spatial Decay Bounds in Time Dependent
Pipe Flow of an Incompressible Viscous
Fluid . . . . . . . . . . . . . . . . . 458--474
Robert Lipton Homogenization Theory and the Assessment
of Extreme Field Values in Composites
with Random Microstructure . . . . . . . 475--493
Ricardo Cortez and
Charles S. Peskin and
John M. Stockie and
Douglas Varela Parametric Resonance in Immersed Elastic
Boundaries . . . . . . . . . . . . . . . 494--520
J. H. Park and
A. Bayliss and
B. J. Matkowsky Dynamics in a Rod Model of Solid Flame
Waves . . . . . . . . . . . . . . . . . 521--549
Stephen A. Gourley and
Yang Kuang A Delay Reaction-Diffusion Model of the
Spread of Bacteriophage Infection . . . 550--566
G. Yin and
Hanqin Zhang Two-Time-Scale Markov Chains and
Applications to Quasi-Birth-Death Queues 567--586
P. L. Staab and
M. J. Rempe and
D. R. Kassoy Acoustic-Rotational Internal Flow Caused
by Transient Sidewall Mass Addition . . 587--617
Masataka Kuwamura On the Turing Patterns in
One-Dimensional Gradient/Skew-Gradient
Dissipative Systems . . . . . . . . . . 618--643
Fatihcan M. Atay and
Axel Hutt Stability and Bifurcations in Neural
Fields with Finite Propagation Speed and
General Connectivity . . . . . . . . . . 644--666
Pablo Braz e Silva Resolvent Estimates for Plane Couette
Flow . . . . . . . . . . . . . . . . . . 667--683
Bill Basener and
David S. Ross Booming and Crashing Populations and
Easter Island . . . . . . . . . . . . . 684--701
H. Laurie and
R. Penne Projective Geometry of Human Motion,
with an Application to Injury Risk . . . 702--719
Chun-Chi Lin and
Hartmut R. Schwetlick On the Geometric Flow of Kirchhoff
Elastic Rods . . . . . . . . . . . . . . 720--736
Dongmei Xiao and
Leslie Stephen Jennings Bifurcations of a Ratio-Dependent
Predator-Prey System with Constant Rate
Harvesting . . . . . . . . . . . . . . . 737--753
Weishi Liu Geometric Singular Perturbation Approach
to Steady-State Poisson--Nernst--Planck
Systems . . . . . . . . . . . . . . . . 754--766
Fioralba Cakoni and
David Colton and
Peter Monk The Determination of the Surface
Conductivity of a Partially Coated
Dielectric . . . . . . . . . . . . . . . 767--789
B. D. Sleeman and
Michael J. Ward and
J. C. Wei The Existence and Stability of Spike
Patterns in a Chemotaxis Model . . . . . 790--817
Fredrik Andersson Fast Inversion of the Radon Transform
Using Log-polar Coordinates and Partial
Back-Projections . . . . . . . . . . . . 818--837
Frank Baginski On the Design and Analysis of Inflated
Membranes: Natural and Pumpkin Shaped
Balloons . . . . . . . . . . . . . . . . 838--857
Michel C. Delfour Modeling and Design of Coated Stents to
Optimize the Effect of the Dose . . . . 858--881
Raimund Bürger and
Kenneth H. Karlsen and
John D. Towers A Model of Continuous Sedimentation of
Flocculated Suspensions in
Clarifier-Thickener Units . . . . . . . 882--940
Darren Crowdy and
Michael Siegel Exact Solutions for the Evolution of a
Bubble in Stokes Flow: a Cauchy
Transform Approach . . . . . . . . . . . 941--963
M. Nuño and
Z. Feng and
M. Martcheva and
C. Castillo-Chavez Dynamics of Two-Strain Influenza with
Isolation and Partial Cross-Immunity . . 964--982
K.-H. Hoffmann and
N. D. Botkin and
V. N. Starovoitov Homogenization of Interfaces Between
Rapidly Oscillating Fine Elastic
Structures and Fluids . . . . . . . . . 983--1005
D. Holcman and
Z. Schuss Modeling Calcium Dynamics in Dendritic
Spines . . . . . . . . . . . . . . . . . 1006--1026
Steven H. Izen and
David P. Rohler and
Sastry K. L. A. Exploiting Symmetry in Fan Beam CT:
Overcoming Third Generation
Undersampling . . . . . . . . . . . . . 1027--1052
L. L. Bonilla and
M. Kindelan and
J. B. Keller Periodically Generated Propagating
Pulses . . . . . . . . . . . . . . . . . 1053--1079
Eleftherios Kirkinis and
Hungyu Tsai Generalized Azimuthal Shear Deformations
in Compressible Isotropic Elastic
Materials . . . . . . . . . . . . . . . 1080--1099
Dmitri Agueev and
Dmitry Pelinovsky Modeling of Wave Resonances in
Low-Contrast Photonic Crystals . . . . . 1101--1129
Susana Gutiérrez-Romero and
Jesús F. Palacián and
Patricia Yanguas A Universal Procedure for Normalizing
$n$-Degree-of-Freedom Polynomial
Hamiltonian Systems . . . . . . . . . . 1130--1152
Christopher E. Elmer and
Erik S. Van Vleck Spatially Discrete FitzHugh--Nagumo
Equations . . . . . . . . . . . . . . . 1153--1174
Abram Dorfman Combustion Stabilization by Forced
Oscillations in a Duct . . . . . . . . . 1175--1199
Soon-Yeong Chung and
Carlos A. Berenstein $\omega$-Harmonic Functions and Inverse
Conductivity Problems on Networks . . . 1200--1226
Facundo Mémoli and
Guillermo Sapiro Distance Functions and Geodesics on
Submanifolds of $\R^d$ and Point Clouds 1227--1260
Robyn P. Araujo and
D. L. Sean McElwain A Mixture Theory for the Genesis of
Residual Stresses in Growing Tissues I:
a General Formulation . . . . . . . . . 1261--1284
R. E. Caflisch and
Mark F. Gyure and
Hans D. Robinson and
Eli Yablonovitch Modeling, Design, and Optimization of a
Solid State Electron Spin Qubit . . . . 1285--1304
Frithjof Lutscher and
Elizaveta Pachepsky and
Mark A. Lewis The Effect of Dispersal Patterns on
Stream Populations . . . . . . . . . . . 1305--1327
Mostafa Adimy and
Fabien Crauste and
Shigui Ruan A Mathematical Study of the
Hematopoiesis Process with Applications
to Chronic Myelogenous Leukemia . . . . 1328--1352
L. M. B. C. Campos and
P. G. T. A. Serrão On the Sound in Unbounded and Ducted
Vortex Flows . . . . . . . . . . . . . . 1353--1368
Thomas Schuster and
Eric Todd Quinto On a Regularization Scheme for Linear
Operators in Distribution Spaces with an
Application to the Spherical Radon
Transform . . . . . . . . . . . . . . . 1369--1387
Christiaan C. Stolk and
Maarten V. de Hoop Modeling of Seismic Data in the Downward
Continuation Approach . . . . . . . . . 1388--1406
B. A. Chiera and
A. E. Krzesinski and
P. G. Taylor Some Properties of the Capacity Value
Function . . . . . . . . . . . . . . . . 1407--1419
K. A. Landman and
M. J. Simpson and
J. L. Slater and
D. F. Newgreen Diffusive and Chemotactic Cellular
Migration: Smooth and Discontinuous
Traveling Wave Solutions . . . . . . . . 1420--1442
Benjamin S. White Asymptotic Theory of Electroseismic
Prospecting . . . . . . . . . . . . . . 1443--1462
Martin Z. Bazant and
Kevin T. Chu and
B. J. Bayly Current-Voltage Relations for
Electrochemical Thin Films . . . . . . . 1463--1484
Kevin T. Chu and
Martin Z. Bazant Electrochemical Thin Films at and above
the Classical Limiting Current . . . . . 1485--1505
Jules S. Jaffe Three-Dimensional Probability Density
Functions via Tomographic Inversion . . 1506--1525
Gheorghe Craciun and
Martin Feinberg Multiple Equilibria in Complex Chemical
Reaction Networks: I. The Injectivity
Property . . . . . . . . . . . . . . . . 1526--1546
Julien Diaz and
Patrick Joly An Analysis of Higher Order Boundary
Conditions for the Wave Equation . . . . 1547--1575
Michael Ghil and
Tian Ma and
Shouhong Wang Structural Bifurcation of $2$-D
Nondivergent Flows with Dirichlet
Boundary Conditions: Applications to
Boundary-Layer Separation . . . . . . . 1576--1596
Wendi Wang and
Xiao-Qiang Zhao An Age-Structured Epidemic Model in a
Patchy Environment . . . . . . . . . . . 1597--1614
Lorina Dascal and
Nir A. Sochen A Maximum Principle for Beltrami Color
Flow . . . . . . . . . . . . . . . . . . 1615--1632
R. H. W. Hoppe and
W. G. Litvinov and
T. Rahman Problems of Stationary Flow of
Electrorheological Fluids in a
Cylindrical Coordinate System . . . . . 1633--1656
V. Protopopescu and
L. Thevenot Diffusion Approximation for Linear
Transport with Multiplying Boundary
Conditions . . . . . . . . . . . . . . . 1657--1676
J. R. King and
J. D. Evans Regularization by Kinetic Undercooling
of Blow-up in the Ill-posed Stefan
Problem . . . . . . . . . . . . . . . . 1677--1707
L. K. Gross and
J. Yu Weakly Nonlinear and Numerical Analyses
of Dynamics in a Solid Combustion Model 1708--1725
Carlos J. Garcia-Cervera Néel Walls in Low Anisotropy Symmetric
Double Layers . . . . . . . . . . . . . 1726--1747
Yuan Lou and
Qing Nie and
Frederic Y. M. Wan Effects of Sog on Dpp-Receptor Binding 1748--1771
A. Ouahsine and
P. A. Bois Asymptotic Behavior of Internal Rossby
Waves with a Sharp Density Interface . . 1772--1793
M. E. Alexander and
S. M. Moghadas Bifurcation Analysis of an SIRS Epidemic
Model with Generalized Incidence . . . . 1794--1816
Tony F. Chan and
Selim Esedoglu Aspects of Total Variation Regularized
$L^1$ Function Approximation . . . . . . 1817--1837
N. G. Cogan and
James P. Keener Channel Formation in Gels . . . . . . . 1839--1854
Robert C. Youngquist and
Philip T. Metzger and
Kelly N. Kilts Force Density Function Relationships in
$2$-D Granular Media . . . . . . . . . . 1855--1869
Viggo Andreasen and
Thomas Frommelt A School-Oriented, Age-Structured
Epidemic Model . . . . . . . . . . . . . 1870--1887
Thorsten Maier Wavelet Mie Representations for
Solenoidal Vector Fields with
Applications to Ionospheric Geomagnetic
Data . . . . . . . . . . . . . . . . . . 1888--1912
Qiang Du and
Chun Liu and
Xiaoqiang Wang Retrieving Topological Information for
Phase Field Models . . . . . . . . . . . 1913--1932
Emilio Freire The Focus-Center-Limit Cycle Bifurcation
in Symmetric $3$D Piecewise Linear
Systems . . . . . . . . . . . . . . . . 1933--1951
Akif Ibragimov and
Dinara Khalmanova and
Peter P. Valko and
Jay R. Walton On a Mathematical Model of the
Productivity Index of a Well from
Reservoir Engineering . . . . . . . . . 1952--1980
Sjoerd W. Rienstra Webster's Horn Equation Revisited . . . 1981--2004
Duane Q. Nykamp Revealing Pairwise Coupling in
Linear-Nonlinear Networks . . . . . . . 2005--2032
E. M. Kartchevski and
A. I. Nosich and
G. W. Hanson Mathematical Analysis of the Generalized
Natural Modes of an Inhomogeneous
Optical Fiber . . . . . . . . . . . . . 2033--2048
Gang Bao and
Peijun Li Inverse Medium Scattering Problems for
Electromagnetic Waves . . . . . . . . . 2049--2066
Stefanos E. Folias and
Paul C. Bressloff Stimulus-Locked Traveling Waves and
Breathers in an Excitatory Neural
Network . . . . . . . . . . . . . . . . 2067--2092
Chjan C. Lim Energy Maximizers, Negative
Temperatures, and Robust Symmetry
Breaking in Vortex Dynamics on a
Nonrotating Sphere . . . . . . . . . . . 2093--2106
Habib Ammari Reconstruction of a Small Inclusion in a
Two-Dimensional Open Waveguide . . . . . 2107--2127
Guillermo H. Goldsztein Transport of Nutrients in Bones . . . . 2128--2140
Paolo Biscari and
Timothy J. Sluckin Field-Induced Motion of Nematic
Disclinations . . . . . . . . . . . . . 2141--2157
Sergei Glebov and
Oleg Kiselev and
Vladimir Lazarev Slow Passage through Resonance for a
Weakly Nonlinear Dispersive Wave . . . . 2158--2177
Christophe Besse and
Jean Claudel and
Pierre Degond and
Fabrice Deluzet and
Gérard Gallice and
Christian Tessieras Instability of the Ionospheric Plasma:
Modeling and Analysis . . . . . . . . . 2178--2198
Roberto Camassa and
Alp Findikoglu and
Grant Lythe Transmission, Reflection, and
Second-Harmonic Generation in a
Nonlinear Waveguide . . . . . . . . . . 1--28
Rémi Carles and
Norbert J. Mauser and
Hans Peter Stimming (Semi)Classical Limit of the Hartree
Equation with Harmonic Potential . . . . 29--56
Paul C. Bressloff Weakly Interacting Pulses in
Synaptically Coupled Neural Media . . . 57--81
Charles Knessl and
John A. Morrison Blocking Probabilities for an
Underloaded or Overloaded Link with
Trunk Reservation . . . . . . . . . . . 82--97
Sean B. Andersson Nonadiabatic Corrections to the
Hannay--Berry Phase . . . . . . . . . . 98--121
C. Pierre and
F. Plouraboue and
M. Quintard Convergence of the Generalized Volume
Averaging Method on a
Convection-Diffusion Problem: a Spectral
Perspective . . . . . . . . . . . . . . 122--152
Isabel N. Figueiredo and
Carlos F. Leal and
Cecília S. Pinto Shape Analysis of an Adaptive Elastic
Rod Model . . . . . . . . . . . . . . . 153--173
M. G. Blyth and
J.-M. Vanden-Broeck Magnetic Shaping of a Liquid Metal
Column and Deformation of a Bubble in a
Vortex Flow . . . . . . . . . . . . . . 174--186
S. Moskow and
F. Santosa and
J. Zhang An Approximate Method for Scattering by
Thin Structures . . . . . . . . . . . . 187--205
Min Dai and
Yue Kuen Kwok American Options with Lookback Payoff 206--227
Guillermo H. Goldsztein Volume of Suspension That Flows through
a Small Orifice Before It Clogs . . . . 228--236
Je-Chiang Tsai and
James Sneyd Existence and Stability of Traveling
Waves in Buffered Systems . . . . . . . 237--265
Juan A. Acebrón and
Renato Spigler Second Harmonics Effects in Random
Duffing Oscillators . . . . . . . . . . 266--285
Yasmin Dolak and
Christian Schmeiser The Keller--Segel Model with Logistic
Sensitivity Function and Small
Diffusivity . . . . . . . . . . . . . . 286--308
Yujin Guo and
Zhenguo Pan and
M. J. Ward Touchdown and Pull-In Voltage Behavior
of a MEMS Device with Varying Dielectric
Properties . . . . . . . . . . . . . . . 309--338
Z. Schuss and
A. Spivak On Recovering the Shape of a Domain from
the Trace of the Heat Kernel . . . . . . 339--360
Matthew A. Halverson and
Howard A. Levine and
Joanna Renclawowicz Erratum: ``Singularity Formation in
Chemotaxis---A Conjecture of Nagai'' . . 361--364
Ville Kolehmainen and
Matti Lassas and
Petri Ola The Inverse Conductivity Problem with an
Imperfectly Known Boundary . . . . . . . 365--383
D. Scott Stewart and
Aslan R. Kasimov Theory of Detonation with an Embedded
Sonic Locus . . . . . . . . . . . . . . 384--407
Jan Bouwe van den Berg and
Claude-Michel Brauner and
Josephus Hulshof and
Alessandra Lunardi The Speed Law for Highly Radiative
Flames in a Gaseous Mixture with Large
Activation Energy . . . . . . . . . . . 408--432
Hwa-Lung Yu and
George Christakos Porous Media Upscaling in Terms of
Mathematical Epistemic Cognition . . . . 433--446
Robyn P. Araujo and
D. L. Sean McElwain A Mixture Theory for the Genesis of
Residual Stresses in Growing Tissues II:
Solutions to the Biphasic Equations for
a Multicell Spheroid . . . . . . . . . . 447--467
Stephen M. Cox and
Bruce H. Candy Class-D Audio Amplifiers with Negative
Feedback . . . . . . . . . . . . . . . . 468--488
V. J. Pinfield and
O. G. Harlen and
M. J. W. Povey and
B. D. Sleeman Acoustic Propagation in Dispersions in
the Long Wavelength Limit . . . . . . . 489--509
J. Billingham The Initial Surface Tension--Driven Flow
of a Wedge of Viscous Fluid . . . . . . 510--532
Lev Truskinovsky and
Anna Vainchtein Kinetics of Martensitic Phase
Transitions: Lattice model . . . . . . . 533--553
Asma El Ayyadi Semiconductor Simulations Using a
Coupled Quantum Drift-Diffusion
Schrödinger--Poisson Model . . . . . . . 554--572
H. Sedaghat and
C. M. Kent and
M. A. Wood Criteria for the Convergence,
Oscillation, and Bistability of Pulse
Circulation in a Ring of Excitable Media 573--590
Houssem Haddar and
Steven Kusiak and
John Sylvester The Convex Back-Scattering Support . . . 591--615
Ryusuke Kon Nonexistence of Synchronous Orbits and
Class Coexistence in Matrix Population
Models . . . . . . . . . . . . . . . . . 616--626
Sze-Bi Hsu and
Ying-Hen Hsieh Modeling Intervention Measures and
Severity-Dependent Public Response
during Severe Acute Respiratory Syndrome
Outbreak . . . . . . . . . . . . . . . . 627--647
Gaetan Kerschen and
Young Sup Lee and
Alexander F. Vakakis and
D. Michael McFarland and
Lawrence A. Bergman Irreversible Passive Energy Transfer in
Coupled Oscillators with Essential
Nonlinearity . . . . . . . . . . . . . . 648--679
Hans-Dieter Alber and
Peicheng Zhu Solutions to a Model with Nonuniformly
Parabolic Terms for Phase Evolution
Driven by Configurational Forces . . . . 680--699
Michael A. Zaks and
Alla Podolny and
Alexander A. Nepomnyashchy and
Alexander A. Golovin Periodic Stationary Patterns Governed by
a Convective Cahn--Hilliard Equation . . 700--720
Hongtao Yang Calibration of the Extended CIR Model 721--735
Jeyabal Sivaloganathan and
Scott J. Spector and
Viveka Tilakraj The Convergence of Regularized
Minimizers for Cavitation Problems in
Nonlinear Elasticity . . . . . . . . . . 736--757
Weizhu Bao and
Qiang Du and
Yanzhi Zhang Dynamics of Rotating Bose--Einstein
Condensates and its Efficient and
Accurate Numerical Computation . . . . . 758--786
Aruna Mohan and
Howard Brenner Thermophoretic Motion of a Slightly
Deformed Sphere Through a Viscous Fluid 787--801
Dongmei Xiao and
Huaiping Zhu Multiple Focus and Hopf Bifurcations in
a Predator-Prey System with Nonmonotonic
Functional Response . . . . . . . . . . 802--819
Christof Sparber Effective Mass Theorems for Nonlinear
Schrödinger Equations . . . . . . . . . . 820--842
Maia Martcheva and
Sergei S. Pilyugin The Role of Coinfection in Multidisease
Dynamics . . . . . . . . . . . . . . . . 843--872
J. H. Park and
A. Bayliss and
B. J. Matkowsky and
A. A. Nepomnyashchy On the Route to Extinction in
Nonadiabatic Solid Flames . . . . . . . 873--895
D. Armbruster and
P. Degond and
C. Ringhofer A Model for the Dynamics of large
Queuing Networks and Supply Chains . . . 896--920
Alexandros Sopasakis and
Markos A. Katsoulakis Stochastic Modeling and Simulation of
Traffic Flow: Asymmetric Single
Exclusion Process with Arrhenius
look-ahead dynamics . . . . . . . . . . 921--944
Michael D. Bateman and
Erik S. Van Vleck Traveling Wave Solutions to a Coupled
System of Spatially Discrete Nagumo
Equations . . . . . . . . . . . . . . . 945--976
Ramón Quintanilla and
Reinhard Racke Qualitative Aspects in Dual-Phase-Lag
Thermoelasticity . . . . . . . . . . . . 977--1001
Simon N. Chandler-Wilde and
Eric Heinemeyer and
Roland Potthast Acoustic Scattering by Mildly Rough
Unbounded Surfaces in Three Dimensions 1002--1026
H. T. Banks and
K. Ito and
G. M. Kepler and
J. A. Toivanen Material Surface Design to Counter
Electromagnetic Interrogation of Targets 1027--1049
Kenneth L. Cooke and
Richard H. Elderkin and
Wenzhang Huang Predator-prey Interactions with Delays
Due to Juvenile Maturation . . . . . . . 1050--1079
Xiaofeng Ren and
Juncheng Wei Existence and Stability of Spherically
Layered Solutions of the Diblock
Copolymer Equation . . . . . . . . . . . 1080--1099
Shengqiang Liu and
Edoardo Beretta A Stage-structured Predator-prey Model
of Beddington--DeAngelis Type . . . . . 1101--1129
Eliot Fried On the Relationship between Supplemental
Balances in Two Theories for Pure
Interface Motion . . . . . . . . . . . . 1130--1149
Florian Siebel and
Wolfram Mauser On the Fundamental Diagram of Traffic
Flow . . . . . . . . . . . . . . . . . . 1150--1162
K. F. Gurski and
G. B. McFadden and
M. J. Miksis The Effect of Contact Lines on the
Rayleigh Instability with Anisotropic
Surface Energy . . . . . . . . . . . . . 1163--1187
S. Landis and
B. Z. Bobrovsky and
Z. Schuss The Exit Problem in a Nonlinear System
Driven by $1/f$ Noise: The Delay Locked
Loop . . . . . . . . . . . . . . . . . . 1188--1208
S. C. Brugger and
A. Schenk and
W. Fichtner Moments of the Inverse Scattering
Operator of the Boltzmann Equation:
Theory and Applications . . . . . . . . 1209--1226
Zhenlu Cui and
M. Gregory Forest and
Qi Wang and
Hong Zhou On Weak Plane Couette and Poiseuille
Flows of Rigid Rod and Platelet
Ensembles . . . . . . . . . . . . . . . 1227--1260
Michael Renardy Draw Resonance Revisited . . . . . . . . 1261--1269
Michael Zabarankin and
Andrei F. Ulitko Hilbert Formulas for $r$-Analytic
Functions in the Domain Exterior to
Spindle . . . . . . . . . . . . . . . . 1270--1300
Chang-Yuan Cheng and
Kuang-Hui Lin and
Chih-Wen Shih Multistability in Recurrent Neural
Networks . . . . . . . . . . . . . . . . 1301--1320
Gheorghe Craciun and
Martin Feinberg Multiple Equilibria in Complex Chemical
Reaction Networks: II. The
Species-Reaction Graph . . . . . . . . . 1321--1338
S. M. Baer and
B. W. Kooi and
Yu. A. Kuznetsov and
H. R. Thieme Multiparametric Bifurcation Analysis of
a Basic Two-Stage Population Model . . . 1339--1365
Stephen Kirkland and
Chi-Kwong Li and
Sebastian J. Schreiber On the Evolution of Dispersal in Patchy
Landscapes . . . . . . . . . . . . . . . 1366--1382
Yunmei Chen and
Stacey Levine and
Murali Rao Variable Exponent, Linear Growth
Functionals in Image Restoration . . . . 1383--1406
K. Renee Fister and
Maeve L. McCarthy and
Seth F. Oppenheimer The Identification of a Time Dependent
Sorption Parameter from Soil Column
Experiments . . . . . . . . . . . . . . 1407--1423
Barbara Boldin Introducing a Population into a Steady
Community: The Critical Case, the Center
Manifold, and the Direction of
Bifurcation . . . . . . . . . . . . . . 1424--1453
Wendi Wang and
Xiao-Qiang Zhao An Epidemic Model with Population
Dispersal and Infection Period . . . . . 1454--1472
Fathi Dkhil and
K. P. Hadeler Traveling Fronts in Pressure-Driven
Combustion . . . . . . . . . . . . . . . 1473--1481
C. M. Cuesta and
J. R. King Small- and Waiting-Time Behavior of a
Darcy Flow Model with a Dynamic Pressure
Saturation Relation . . . . . . . . . . 1482--1511
C. E. Schaerer and
D. Marchesin and
M. Sarkis and
P. Bedrikovetsky Permeability Hysteresis in Gravity
Counterflow Segregation . . . . . . . . 1512--1532
C. Sean Bohun and
Huaxiong Huang and
Ian Frigaard and
Shuqing Liang A Semianalytical Thermal Stress Model
for the Czochralski Growth of Type III-V
Compounds . . . . . . . . . . . . . . . 1533--1562
Abdul-Aziz Yakubu and
John E. Franke Discrete-Time SIS Epidemic Model in a
Seasonal Environment . . . . . . . . . . 1563--1587
M. Shearer and
R. Levy The Motion of a Thin Liquid Film Driven
by Surfactant and Gravity . . . . . . . 1588--1609
Andreas Münch and
P. L. Evans Interaction of Advancing Fronts and
Meniscus Profiles Formed by
Surface-Tension-Gradient-Driven Liquid
Films . . . . . . . . . . . . . . . . . 1610--1631
Mila Nikolova and
Selim Esedoglu and
Tony F. Chan Algorithms for Finding Global Minimizers
of Image Segmentation and Denoising
Models . . . . . . . . . . . . . . . . . 1632--1648
C. M. Linton and
P. A. Martin Multiple Scattering by Multiple Spheres:
a New Proof of the Lloyd--Berry Formula
for the Effective Wavenumber . . . . . . 1649--1668
J. P. Gleeson and
F. O'Doherty Non-Lorentzian Spectral Lineshapes Near
a Hopf Bifurcation . . . . . . . . . . . 1669--1688
Katarzyna Saxton and
Ralph Saxton Phase Transitions and Change of Type in
Low-Temperature Heat Propagation . . . . 1689--1702
Nicole Marheineke and
Raimund Wegener Fiber Dynamics in Turbulent Flows:
General Modeling Framework . . . . . . . 1703--1726
Mark Bowen and
Thomas P. Witelski The Linear Limit of the Dipole Problem
for the Thin Film Equation . . . . . . . 1727--1748
Sunmi Lee and
Russel E. Caflisch and
Young-Ju Lee Exact Artificial Boundary Conditions for
Continuum and Discrete Elasticity . . . 1749--1775
John W. Cain Dynamic Behavior of a Paced Cardiac
Fiber . . . . . . . . . . . . . . . . . 1776--1792
Ji\vrí Horák and
Gabriel J. Lord and
Mark A. Peletier Cylinder Buckling: The Mountain Pass as
an Organizing Center . . . . . . . . . . 1793--1824
Rajan Arora and
V. D. Sharma Convergence of Strong Shock in a Van der
Waals Gas . . . . . . . . . . . . . . . 1825--1837
Mayer Humi On the Solution of Long's Equation with
Shear . . . . . . . . . . . . . . . . . 1839--1852
R. R. L. Simons and
S. A. Gourley Extinction Criteria in Stage-Structured
Population Models with Impulsive Culling 1853--1870
Diego Dominici and
Charles Knessl Ray Solution of a Singularly Perturbed
Elliptic PDE with Applications to
Communications Networks . . . . . . . . 1871--1894
Steve Rosencrans and
Xuefeng Wang Suppression of the Dirichlet Eigenvalues
of a Coated Body . . . . . . . . . . . . 1895--1916
Roger E. Griffiths and
Mark Pernarowski Return Map Characterizations for a Model
of Bursting with Two Slow Variables . . 1917--1948
J. Billingham Surface Tension-Driven Flow in a Slender
Wedge . . . . . . . . . . . . . . . . . 1949--1977
David A. Edwards Convection Effects in Thin Reaction
Zones: Applications to BIAcore . . . . . 1978--1997
Ralph C. Smith and
Andrew G. Hatch and
Tathagata De and
Murti V. Salapaka and
Ricardo C. H. del Rosario and
Julie K. Raye Model Development for Atomic Force
Microscope Stage Mechanisms . . . . . . 1998--2026
Ivana Drobnjak and
A. C. Fowler and
Michael C. Mackey Oscillations in a Maturation Model of
Blood Cell Production . . . . . . . . . 2027--2048
D. Ambrosi Cellular Traction as an Inverse Problem 2049--2060
Guy Bouchitté and
Didier Felbacq Homogenization of a Wire Photonic
Crystal: The Case of Small Volume
Fraction . . . . . . . . . . . . . . . . 2061--2084
D. Pardo and
L. Demkowicz and
C. Torres-Verdín and
M. Paszynski Two-Dimensional High-Accuracy Simulation
of Resistivity Logging-While-Drilling
(LWD) Measurements Using a Self-Adaptive
Goal-Oriented $hp$ Finite Element Method 2085--2106
Jinhae Park and
M. Carme Calderer Analysis of Nonlocal Electrostatic
Effects in Chiral Smectic C Liquid
Crystals . . . . . . . . . . . . . . . . 2107--2126
Marc Droske and
Wolfgang Ring A Mumford--Shah Level-Set Approach for
Geometric Image Registration . . . . . . 2127--2148
Rosenei Felippe Knackfuss and
Liliane Basso Barichello On the Temperature-Jump Problem in
Rarefied Gas Dynamics: The Effect of the
Cercignani--Lampis Boundary Condition 2149--2186
Ingenuin Gasser and
Herbert Steinrück An Asymptotic One-Dimensional Model to
Describe Fires in Tunnels III: The
Transient Problem . . . . . . . . . . . 2187--2203
Shigui Ruan and
Xue-Zhong He Erratum: Global Stability in
Chemostat-Type Competition Models with
Nutrient Recycling . . . . . . . . . . . 2204--2205
Daniel Appelö and
Thomas Hagstrom and
Gunilla Kreiss Perfectly Matched Layers for Hyperbolic
Systems: General Formulation,
Well-posedness, and Stability . . . . . 1--23
Nakul Chitnis and
J. M. Cushing and
J. M. Hyman Bifurcation Analysis of a Mathematical
Model for Malaria Transmission . . . . . 24--45
Ansgar Jüngel and
Daniel Matthes and
Josipa Pina Mili i Derivation of New Quantum Hydrodynamic
Equations Using Entropy Minimization . . 46--68
Benjamin S. White and
Minyao Zhou Electroseismic Prospecting in Layered
Media . . . . . . . . . . . . . . . . . 69--98
Qiang Gong and
Rajan Batta A Queue-Length Cutoff Model for a
Preemptive Two-Priority $M/M/1$ System 99--115
Jan Bouwe van den Berg and
Vincent Guyonne and
Josephus Hulshof Flame Balls for a Free Boundary
Combustion Model with Radiative Transfer 116--137
Chunhua Ou and
Jianhong Wu Spatial Spread of Rabies Revisited:
Influence of Age-Dependent Diffusion on
Nonlinear Dynamics . . . . . . . . . . . 138--163
Sun\vcica Çani\'c and
Josip Tamba\vca and
Giovanna Guidoboni and
Andro Mikeli\'c and
Craig J. Hartley and
Doreen Rosenstrauch Modeling Viscoelastic Behavior of
Arterial Walls and Their Interaction
with Pulsatile Blood Flow . . . . . . . 164--193
Christian Engström Inverse Bounds and Bulk Properties of
Complex-Valued Two-Component Composites 194--213
Dae Kun Hwang and
Alejandro D. Rey Computational modeling of texture
formation and optical performance of
liquid crystal films on patterned
surfaces . . . . . . . . . . . . . . . . 214--234
V. V. Kamotski and
L. Ju. Fradkin and
B. A. Samokish and
V. A. Borovikov and
V. M. Babich On Budaev and Bogy's Approach to
Diffraction by the $2$D Traction-Free
Elastic Wedge . . . . . . . . . . . . . 235--259
Abderrhaman Iggidr and
Jean-Claude Kamgang and
Gauthier Sallet and
Jean-Jules Tewa Global Analysis of New Malaria Intrahost
Models with a Competitive Exclusion
Principle . . . . . . . . . . . . . . . 260--278
Shimon Haber A Spherical Particle Moving Slowly in a
Fluid with a Radially Varying Viscosity 279--304
Thomas Erneux and
Albert Goldbeter Rescue of the Quasi-Steady-State
Approximation in a Model for
Oscillations in an Enzymatic Cascade . . 305--320
Allen M. Tesdall and
Richard Sanders and
Barbara L. Keyfitz The Triple Point Paradox for the
Nonlinear Wave System . . . . . . . . . 321--336
Paul Georgescu and
Ying-Hen Hsieh Global Stability for a Virus Dynamics
Model with Nonlinear Incidence of
Infection and Removal . . . . . . . . . 337--353
Vít Pr\ocircu\vsa Sufficient Conditions for Monotone
Linear Stability of Steady and
Oscillatory Hagen--Poiseuille Flow . . . 354--363
S. L. Mitchell and
R. Kuske and
A. P. Peirce An Asymptotic Framework for Finite
Hydraulic Fractures Including Leak-Off 364--386
Jinzhi Lei and
Michael C. Mackey Stochastic Differential Delay Equation,
Moment Stability, and Application to
Hematopoietic Stem Cell Regulation
System . . . . . . . . . . . . . . . . . 387--407
Stephen A. Gourley and
Rongsong Liu and
Jianhong Wu Some Vector Borne Diseases with
Structured Host Populations: Extinction
and Spatial Spread . . . . . . . . . . . 408--433
G. Flores and
G. Mercado and
J. A. Pelesko and
N. Smyth Analysis of the Dynamics and Touchdown
in a Model of Electrostatic MEMS . . . . 434--446
Paolo Biscari and
Stefano Turzi Boundary-Roughness Effects in Nematic
Liquid Crystals . . . . . . . . . . . . 447--463
Sanjeeva Balasuriya and
Georg Gottwald and
John Hornibrook and
Stéphane Lafortune High Lewis Number Combustion Wavefronts:
a Perturbative Melnikov Analysis . . . . 464--486
Steinar Evje and
Tore Flåtten On the Wave Structure of Two-Phase Flow
Models . . . . . . . . . . . . . . . . . 487--511
Fatma Gurel Kazanci and
Bard Ermentrout Pattern Formation in an Array of
Oscillators with Electrical and Chemical
Coupling . . . . . . . . . . . . . . . . 512--529
Morten Gram Pedersen and
Mads Peter Sòrensen The Effect of Noise on $\beta$-Cell
Burst Period . . . . . . . . . . . . . . 530--542
Helga S. Huntley and
Esteban G. Tabak and
Edward H. Suh An Optimization Approach to Modeling Sea
Ice Dynamics. Part 1: Lagrangian
Framework . . . . . . . . . . . . . . . 543--560
Helga S. Huntley and
Esteban G. Tabak An Optimization Approach to Modeling Sea
Ice Dynamics, Part 2: Finite Ice
Strength Effects . . . . . . . . . . . . 561--581
Martin Frank and
Hartmut Hensel and
Axel Klar A Fast and Accurate Moment Method for
the Fokker--Planck Equation and
Applications to Electron Radiotherapy 582--603
Zhong-Hui Ou and
Shi-Qiang Dai and
Peng Zhang and
Li-Yun Dong Nonlinear Analysis in the Aw--Rascle
Anticipation Model of Traffic Flow . . . 605--618
William Artiles and
Roberto A. Kraenkel An Exact Equation for the Free Surface
of a Fluid in a Porous Medium . . . . . 619--629
Huaxiong Huang and
Jonathan J. Wylie and
Robert M. Miura and
Peter D. Howell On the Formation of Glass
Microelectrodes . . . . . . . . . . . . 630--666
Sina Valadkhan and
Kirsten Morris and
Amir Khajepour Passivity of Magnetostrictive Materials 667--686
Stephen Shipman and
Darko Volkov Guided Modes in Periodic Slabs:
Existence and Nonexistence . . . . . . . 687--713
KiHyun Yun Estimates for Electric Fields Blown Up
between Closely Adjacent Conductors with
Arbitrary Shape . . . . . . . . . . . . 714--730
Libin Rong and
Zhilan Feng and
Alan S. Perelson Mathematical Analysis of Age-Structured
HIV-1 Dynamics with Combination
Antiretroviral Therapy . . . . . . . . . 731--756
Jiaxu Li and
Yang Kuang Analysis of a Model of the
Glucose-Insulin Regulatory System with
Two Delays . . . . . . . . . . . . . . . 757--776
Chokri Ben Amar and
Nabil Gmati and
Christophe Hazard and
Karim Ramdani Numerical Simulation of Acoustic Time
Reversal Mirrors . . . . . . . . . . . . 777--791
Dmitry Golovaty On Step-Function Reaction Kinetics Model
in the Absence of Material Diffusion . . 792--809
J. G. Caputo and
L. Loukitch Statics of Point Josephson Junctions in
a Microstrip Line . . . . . . . . . . . 810--836
Giacomo Aletti and
Giovanni Naldi and
Giuseppe Toscani First-Order Continuous Models of Opinion
Formation . . . . . . . . . . . . . . . 837--853
Vincent Guyonne and
Pascal Noble On a Model of Flame Ball with Radiative
Transfer . . . . . . . . . . . . . . . . 854--868
L. Deseri and
J. M. Golden The Minimum Free Energy for Continuous
Spectrum Materials . . . . . . . . . . . 869--892
Kim Knudsen and
Matti Lassas and
Jennifer L. Mueller and
Samuli Siltanen $D$-Bar Method for Electrical Impedance
Tomography with Discontinuous
Conductivities . . . . . . . . . . . . . 893--913
Joseph M. Mahaffy and
Leah Edelstein-Keshet Modeling Cyclic Waves of Circulating T
Cells in Autoimmune Diabetes . . . . . . 915--937
Timothy D. Williams and
Vernon A. Squire Wave Scattering at the Sea-Ice/Ice-Shelf
Transition with Other Applications . . . 938--959
Martin Burger and
Robert S. Eisenberg and
Heinz W. Engl Inverse Problems Related to Ion Channel
Selectivity . . . . . . . . . . . . . . 960--989
Víctor M. Pérez-García and
Pedro J. Torres and
Gaspar D. Montesinos The Method of Moments for Nonlinear
Schrödinger Equations: Theory and
Applications . . . . . . . . . . . . . . 990--1015
A. C. Fowler and
Natalia Kopteva and
Charles Oakley The Formation of River Channels . . . . 1016--1040
R. D. M. Garcia and
C. E. Siewert Channel Flow of a Binary Mixture of
Rigid Spheres Described by the
Linearized Boltzmann Equation and Driven
by Temperature, Pressure, and
Concentration Gradients . . . . . . . . 1041--1063
A. C. Skeldon and
G. Guidoboni Pattern Selection for Faraday Waves in
an Incompressible Viscous Fluid . . . . 1064--1100
Nuutti Hyvönen Locating Transparent Regions in Optical
Absorption and Scattering Tomography . . 1101--1123
J. J. Liu and
G. Nakamura and
M. Sini Reconstruction of the Shape and Surface
Impedance from Acoustic Scattering Data
for an Arbitrary Cylinder . . . . . . . 1124--1146
Byron Goldstein and
Harold Levine and
David Torney Diffusion Limited Reactions . . . . . . 1147--1165
B. H. Bradshaw-Hajek and
Y. M. Stokes and
E. O. Tuck Computation of Extensional Fall of
Slender Viscous Drops by a
One-Dimensional Eulerian Method . . . . 1166--1182
Thierry Goudon and
Vera Miljanovi\'c and
Christian Schmeiser On the Shockley--Read--Hall Model:
Generation-Recombination in
Semiconductors . . . . . . . . . . . . . 1183--1201
Pascal Noble Roll-Waves in General Hyperbolic Systems
with Source Terms . . . . . . . . . . . 1202--1212
Yoon Mo Jung and
Sung Ha Kang and
Jianhong Shen Multiphase Image Segmentation via
Modica--Mortola Phase Transition . . . . 1213--1232
C. M. Linton and
R. Porter and
I. Thompson Scattering by a Semi-Infinite Periodic
Array and the Excitation of Surface
Waves . . . . . . . . . . . . . . . . . 1233--1258
J. J. Liu and
J. K. Seo and
M. Sini and
E. J. Woo On the Convergence of the Harmonic $B_z$
Algorithm in Magnetic Resonance
Electrical Impedance Tomography . . . . 1259--1282
L. J. S. Allen and
B. M. Bolker and
Y. Lou and
A. L. Nevai Asymptotic Profiles of the Steady States
for an SIS Epidemic Patch Model . . . . 1283--1309
Dmitri Tseluiko and
Demetrios T. Papageorgiou Nonlinear Dynamics of Electrified Thin
Liquid Films . . . . . . . . . . . . . . 1310--1329
S. Nintcheu Fata and
B. B. Guzina Elastic Scatterer Reconstruction via the
Adjoint Sampling Method . . . . . . . . 1330--1352
Anthony J. Devaney and
Edwin A. Marengo and
Mei Li Inverse Source Problem in Nonhomogeneous
Background Media . . . . . . . . . . . . 1353--1378
Paul Georgescu and
Ying-Hen Hsieh Global Dynamics of a Predator-Prey Model
with Stage Structure for the Predator 1379--1395
Martin Golubitsky and
LieJune Shiau and
Ian Stewart Spatiotemporal Symmetries in the
Disynaptic Canal-Neck Projection . . . . 1396--1417
R. O. Moore and
G. Biondini and
W. L. Kath A Method to Compute Statistics of Large,
Noise-Induced Perturbations of Nonlinear
Schrödinger Solitons . . . . . . . . . . 1418--1439
Ville Kolehmainen and
Matti Lassas and
Petri Ola The Inverse Conductivity Problem with an
Imperfectly Known Boundary in Three
Dimensions . . . . . . . . . . . . . . . 1440--1452
Bingtuan Li and
Yang Kuang Heteroclinic Bifurcation in the
Michaelis--Menten-Type Ratio-Dependent
Predator-Prey System . . . . . . . . . . 1453--1464
Edmund Chadwick and
Nina Fishwick Lift on Slender Bodies with Elliptical
Cross section Evaluated by Using an
Oseen Flow Model . . . . . . . . . . . . 1465--1478
Rui Peng and
Junping Shi and
Mingxin Wang Stationary Pattern of a Ratio-Dependent
Food Chain Model with Diffusion . . . . 1479--1503
David J. Muraki A Simple Illustration of a Weak Spectral
Cascade . . . . . . . . . . . . . . . . 1504--1521
Murad Banaji and
Pete Donnell and
Stephen Baigent ${P}$ Matrix Properties, Injectivity,
and Stability in Chemical Reaction
Systems . . . . . . . . . . . . . . . . 1523--1547
S. V. Tsynkov Weak Lacunae of Electromagnetic Waves in
Dilute Plasma . . . . . . . . . . . . . 1548--1581
A. W. Peterson and
S. V. Tsynkov Active Control of Sound for Composite
Regions . . . . . . . . . . . . . . . . 1582--1609
John A. Morrison and
Phil Whiting On the Uplink of a Cellular System with
Imperfect Power Control and Multiple
Services . . . . . . . . . . . . . . . . 1610--1632
Christian Schoof Cavitation on Deformable Glacier Beds 1633--1653
D. V. Strunin Attractors in Confined Source Problems
for Coupled Nonlinear Diffusion . . . . 1654--1674
Kristen J. DeVault and
Pierre A. Gremaud and
Helge Kristian Jenssen Numerical Investigation of Cavitation in
Multidimensional Compressible Flows . . 1675--1692
Radouane Yafia Hopf Bifurcation in Differential
Equations with Delay for Tumor--Immune
System Competition Model . . . . . . . . 1693--1703
T. Götz and
A. Klar and
N. Marheineke and
R. Wegener A Stochastic Model and Associated
Fokker--Planck Equation for the Fiber
Lay-Down Process in Nonwoven Production
Processes . . . . . . . . . . . . . . . 1704--1717
Josselin Garnier and
George Papanicolaou Pulse Propagation and Time Reversal in
Random Waveguides . . . . . . . . . . . 1718--1739
Yanzhi Zhang and
Weizhu Bao and
Qiang Du The Dynamics and Interaction of
Quantized Vortices in the
Ginzburg--Landau--Schrödinger Equation 1740--1775
James F. Blowey and
John R. King and
Stephen Langdon Small- and Waiting-Time Behavior of the
Thin-Film Equation . . . . . . . . . . . 1776--1807
Nicole Marheineke and
Raimund Wegener Fiber Dynamics in Turbulent Flows:
Specific Taylor Drag . . . . . . . . . . 1--23
Joyce R. McLaughlin and
Daniel Renzi and
Jeong-Rock Yoon Anisotropy Reconstruction from Wave
Fronts in Transversely Isotropic
Acoustic Media . . . . . . . . . . . . . 24--42
Edward W. Larsen and
Liang Liang The Atomic Mix Approximation for Charged
Particle Transport . . . . . . . . . . . 43--58
P. Degond and
C. Ringhofer Stochastic Dynamics of Long Supply
Chains with Random Breakdowns . . . . . 59--79
M. Destrade and
G. Saccomandi Creep, Recovery, and Waves in a
Nonlinear Fiber-Reinforced Viscoelastic
Solid . . . . . . . . . . . . . . . . . 80--97
A. Singer and
Z. Schuss Activation through a Narrow Opening . . 98--108
Faustino Maestre and
Arnaud Münch and
Pablo Pedregal A Spatio-temporal Design Problem for a
Damped Wave Equation . . . . . . . . . . 109--132
Lionel Roques and
Mickaël D. Chekroun On Population Resilience to External
Perturbations . . . . . . . . . . . . . 133--153
Meredith L. Greer and
P. van den Driessche and
Lin Wang and
G. F. Webb Effects of General Incidence and Polymer
Joining on Nucleated Polymerization in a
Model of Prion Proliferation . . . . . . 154--170
Ansgar Jüngel and
Stefan Krause and
Paola Pietra A Hierarchy of Diffusive Higher-Order
Moment Equations for Semiconductors . . 171--198
Alan Rufty A Dirichlet-Integral--Based Dual-Access
Collocation-Kernel Approach to Point
Source Gravity-Field Modeling . . . . . 199--221
H. Huang and
P. Lin and
W. Zhou Moisture Transport and Diffusive
Instability During Bread Baking . . . . 222--238
Christel Hohenegger and
Peter J. Mucha Statistical Reconstruction of Velocity
Profiles for Nanoparticle Image
Velocimetry . . . . . . . . . . . . . . 239--252
Carole K. Hayakawa and
Jerome Spanier and
Vasan Venugopalan Coupled Forward-Adjoint Monte Carlo
Simulations of Radiative Transport for
the Study of Optical Probe Design in
Heterogeneous Tissues . . . . . . . . . 253--270
D. Russell Luke and
Anthony J. Devaney Identifying Scattering Obstacles by the
Construction of Nonscattering Waves . . 271--291
Ute Ebert and
Bernard Meulenbroek and
Lothar Schäfer Convective Stabilization of a Laplacian
Moving Boundary Problem with Kinetic
Undercooling . . . . . . . . . . . . . . 292--310
Ole Henrik Waagaard and
Johannes Skaar Inverse Scattering in Multimode
Structures . . . . . . . . . . . . . . . 311--333
Alexander Katsevich and
Mikhail Kapralov Filtered Backprojection Inversion of the
Cone Beam Transform for a General Class
of Curves . . . . . . . . . . . . . . . 334--353
Duane Q. Nykamp Exploiting History-Dependent Effects to
Infer Network Connectivity . . . . . . . 354--391
David Finch and
Markus Haltmeier and
Rakesh Inversion of Spherical Means and the
Wave Equation in Even Dimensions . . . . 392--412
S. Moutari and
M. Rascle A Hybrid Lagrangian Model Based on the
Aw--Rascle Traffic Flow Model . . . . . 413--436
Massimo Fornasier and
Riccardo March Restoration of Color Images by Vector
Valued BV Functions and Variational
Calculus . . . . . . . . . . . . . . . . 437--460
M. Zabarankin Asymmetric Creeping Motion of a Rigid
Spindle-Shaped Body in a Viscous Fluid 461--485
Luca Consolini and
Mario Tosques On the Existence of Small Periodic
Solutions for the 2-Dimensional Inverted
Pendulum on a Cart . . . . . . . . . . . 486--502
Hao Wang and
Hal L. Smith and
Yang Kuang and
James J. Elser Dynamics of Stoichiometric
Bacteria-Algae Interactions in the
Epilimnion . . . . . . . . . . . . . . . 503--522
Emmanuel Perrey-Debain and
I. David Abrahams A Diffusion Analysis Approach to TE Mode
Propagation in Randomly Perturbed
Optical Waveguides . . . . . . . . . . . 523--543
Wancheng Sheng and
Meina Sun and
Tong Zhang The Generalized Riemann Problem for a
Scalar Nonconvex Chapman--Jouguet
Combustion Model . . . . . . . . . . . . 544--561
Rui-Yue Xu and
Peng Zhang and
Shi-Qiang Dai and
S. C. Wong Admissibility of a Wide Cluster Solution
in ``Anisotropic'' Higher-Order Traffic
Flow Models . . . . . . . . . . . . . . 562--573
Ashvin George and
Yoram Bresler Fast Tomographic Reconstruction via
Rotation-Based Hierarchical
Backprojection . . . . . . . . . . . . . 574--597
T. Preusser and
M. Droske and
C. S. Garbe and
A. Telea and
M. Rumpf A Phase Field Method for Joint
Denoising, Edge Detection, and Motion
Estimation in Image Sequence Processing 599--618
Luis L. Bonilla and
Manuel Carretero and
J. B. Keller Homogeneous Branched-Chain Explosions 619--628
Christophe Hazard and
Michael H. Meylan Spectral Theory For an Elastic Thin
Plate Floating on Water of Finite Depth 629--647
L. L. Bonilla and
T. Götz and
A. Klar and
N. Marheineke and
R. Wegener Hydrodynamic Limit of a Fokker--Planck
Equation Describing Fiber Lay-Down
Processes . . . . . . . . . . . . . . . 648--665
Christian Engström Inverse Bounds of Two-Component
Composites . . . . . . . . . . . . . . . 666--679
Shangbing Ai Traveling Waves in a Bioremediation
Model . . . . . . . . . . . . . . . . . 680--693
Jackie (Jianhong) Shen Cucker--Smale Flocking under
Hierarchical Leadership . . . . . . . . 694--719
Colleen Mitchell and
Michael Reed Neural Timing in Highly Convergent
Systems . . . . . . . . . . . . . . . . 720--737
Rifat Sipahi and
Fatihcan M. Atay and
Silviu-Iulian Niculescu Stability of Traffic Flow Behavior with
Distributed Delays Modeling the Memory
Effects of the Drivers . . . . . . . . . 738--759
Benjamin P. Cook and
Andrea L. Bertozzi and
A. E. Hosoi Shock Solutions for Particle-Laden Thin
Films . . . . . . . . . . . . . . . . . 760--783
Steven Kusiak and
John Weatherwax Identification and Characterization of a
Mobile Source in a General Parabolic
Differential Equation with Constant
Coefficients . . . . . . . . . . . . . . 784--805
Sirong Zhang and
Laurent Younes and
John Zweck and
J. Tilak Ratnanather Diffeomorphic Surface Flows: a Novel
Method of Surface Evolution . . . . . . 806--824
S. A. Maslowe and
N. Nigam The Nonlinear Critical Layer for Kelvin
Modes on a Vortex with a Continuous
Velocity Profile . . . . . . . . . . . . 825--843
A. Singer and
Z. Schuss and
A. Osipov and
D. Holcman Partially Reflected Diffusion . . . . . 844--868
J.-P. Gabriel and
L. M. Studer and
D. G. Rüegg and
M.-A. Schnetzer A Mathematical Model for the Steady
Activation of a Skeletal Muscle . . . . 869--889
Michael C. Wendl Random Covering of Multiple
One-Dimensional Domains with an
Application to DNA Sequencing . . . . . 890--905
Martin Hanke and
Birgit Schappel The Factorization Method for Electrical
Impedance Tomography in the Half-Space 907--924
Gilles Aubert and
Jean-François Aujol A Variational Approach to Removing
Multiplicative Noise . . . . . . . . . . 925--946
Fred C. Adams and
Anthony M. Bloch Hill's Equation with Random Forcing
Terms . . . . . . . . . . . . . . . . . 947--980
Ciro D'Apice and
Rosanna Manzo and
Benedetto Piccoli A Fluid Dynamic Model for
Telecommunication Networks with Sources
and Destinations . . . . . . . . . . . . 981--1003
H. Bueno and
G. Ercole and
A. Zumpano Stationary Solutions of a Model for the
Growth of Tumors and a Connection
between the Nonnecrotic and Necrotic
Phases . . . . . . . . . . . . . . . . . 1004--1025
Gunther Uhlmann and
Jenn-Nan Wang Reconstructing Discontinuities Using
Complex Geometrical Optics Solutions . . 1026--1044
Jonathan Touboul Bifurcation Analysis of a General Class
of Nonlinear Integrate-and-Fire Neurons 1045--1079
G. Dassios and
A. S. Fokas Methods for Solving Elliptic PDEs in
Spherical Coordinates . . . . . . . . . 1080--1096
Armin Lechleiter and
Nuutti Hyvönen and
Harri Hakula The Factorization Method Applied to the
Complete Electrode Model of Impedance
Tomography . . . . . . . . . . . . . . . 1097--1121
Manuel Arrayás and
Santiago Betelú and
Marco A. Fontelos and
José L. Trueba Fingering from Ionization Fronts in
Plasmas . . . . . . . . . . . . . . . . 1122--1145
Thibault Lagache and
David Holcman Effective Motion of a Virus Trafficking
Inside a Biological Cell . . . . . . . . 1146--1167
Ajay Subramanian Optimal Liquidation by a Large Investor 1168--1201
Steve Rosencrans and
Xuefeng Wang Corrigendum: Suppression of the
Dirichlet Eigenvalues of a Coated Body 1202--1202
Guillermo H. Goldsztein Solute Transport in Porous Media. Media
with Capillaries as Voids . . . . . . . 1203--1222
Paul C. Bressloff and
Berton A. Earnshaw and
Michael J. Ward Diffusion of Protein Receptors on a
Cylindrical Dendritic Membrane with
Partially Absorbing Traps . . . . . . . 1223--1246
Richard J. La and
Priya Ranjan Convergence of Dual Algorithm with
Arbitrary Communication Delays . . . . . 1247--1267
R. F. Sviercoski and
C. L. Winter and
A. W. Warrick Analytical Approximation for the
Generalized Laplace Equation with Step
Function Coefficient . . . . . . . . . . 1268--1281
Eric Todd Quinto and
Ozan Öktem Local Tomography in Electron Microscopy 1282--1303
Chun Liu and
Hailiang Liu Boundary Conditions for the Microscopic
FENE Models . . . . . . . . . . . . . . 1304--1315
Victor Camacho and
Robert D. Guy and
Jon Jacobsen Traveling Waves and Shocks in a
Viscoelastic Generalization of Burgers'
Equation . . . . . . . . . . . . . . . . 1316--1332
Vincent Perrier The Chapman--Jouguet Closure for the
Riemann Problem with Vaporization . . . 1333--1359
Allen M. Tesdall and
Richard Sanders and
Barbara L. Keyfitz Self-Similar Solutions for the Triple
Point Paradox in Gasdynamics . . . . . . 1360--1377
Roland Griesmaier An Asymptotic Factorization Method for
Inverse Electromagnetic Scattering in
Layered Media . . . . . . . . . . . . . 1378--1403
David O. Olagunju and
Anand B. Vyas and
Shangyou Zhang Analytical and Numerical Solutions for
Torsional Flow between Coaxial Discs
with Heat Transfer . . . . . . . . . . . 1404--1422
C. M. Cuesta and
C. Schmeiser Stability of Solitary Waves in a
Semiconductor Drift-Diffusion Model . . 1423--1438
I. David Abrahams and
Anthony M. J. Davis and
Stefan G. Llewellyn Smith Asymmetric Channel Divider in Stokes
Flow . . . . . . . . . . . . . . . . . . 1439--1463
David F. Anderson Global Asymptotic Stability for a Class
of Nonlinear Chemical Equations . . . . 1464--1476
Ana Alonso Rodríguez and
Alberto Valli Voltage and Current Excitation for
Time-Harmonic Eddy-Current Problems . . 1477--1494
Lin Wang and
Guan-zhong Dai Global Stability of Virus Spreading in
Complex Heterogeneous Networks . . . . . 1495--1502
G. A. Kriegsmann Electric Discharge Sintering: a
Mathematical Model . . . . . . . . . . . 1503--1517
Gunduz Caginalp and
Xinfu Chen and
Christof Eck Numerical Tests of a Phase Field Model
with Second Order Accuracy . . . . . . . 1518--1534
Kim Dang Phung and
Xu Zhang Time Reversal Focusing of the Initial
State for Kirchhoff Plate . . . . . . . 1535--1556
H. Ammari and
E. Bonnetier and
Y. Capdeboscq and
M. Tanter and
M. Fink Electrical Impedance Tomography by
Elastic Deformation . . . . . . . . . . 1557--1573
Josselin Garnier and
Knut Sòlna Effective Transport Equations and
Enhanced Backscattering in Random
Waveguides . . . . . . . . . . . . . . . 1574--1599
Sze-Bi Hsu and
Ting-Hao Hsu Competitive Exclusion of Microbial
Species for a Single Nutrient with
Internal Storage . . . . . . . . . . . . 1600--1617
Laurent Gosse and
Olof Runborg Existence, Uniqueness, and a
Constructive Solution Algorithm for a
Class of Finite Markov Moment Problems 1618--1640
Hang Zhang and
M. Carme Calderer Incipient Dynamics of Swelling of Gels 1641--1664
Stephen A. Gourley and
Xingfu Zou A Mathematical Model for the Control and
Eradication of a Wood Boring Beetle
Infestation . . . . . . . . . . . . . . 1665--1687
V. I. Zadorozhnii and
T. J. Sluckin and
V. Yu. Reshetnyak and
K. S. Thomas The Frederiks Effect and Related
Phenomena in Ferronematic Materials . . 1688--1716
Hal L. Smith Models of Virulent Phage Growth with
Application to Phage Therapy . . . . . . 1717--1737
Guillaume Bal and
Kui Ren Transport-Based Imaging in Random Media 1738--1762
C. Casenave and
E. Montseny Time-Local Dissipative Formulation and
Stable Numerical Schemes for a Class of
Integrodifferential Wave Equations . . . 1763--1782
I. Thompson and
C. M. Linton An Interaction Theory for Scattering by
Defects in Arrays . . . . . . . . . . . 1783--1806
Benjamin P. Cox and
Warren R. Smith On a Multiple-Scales Analysis of
Multilateral Phenomena in Semiconductor
Lasers . . . . . . . . . . . . . . . . . 1--21
Sungwhan Kim and
Jeehyun Lee and
Jin Keun Seo and
Eung Je Woo and
Habib Zribi MultiFrequency Trans-Admittance Scanner:
Mathematical Framework and Feasibility 22--36
J. Gopalakrishnan and
S. Moskow and
F. Santosa Asymptotic and Numerical Techniques for
Resonances of Thin Photonic Structures 37--63
Christina Stöcker and
Axel Voigt A Level Set Approach to Anisotropic
Surface Evolution with Free Adatoms . . 64--80
Edwin A. Marengo and
Mohamed R. Khodja and
Abdelkader Boucherif Inverse Source Problem in Nonhomogeneous
Background Media. Part II: Vector
Formulation and Antenna Substrate
Performance Characterization . . . . . . 81--110
Hadi Susanto Boundary Driven Waveguide Arrays:
Supratransmission and Saddle-Node
Bifurcation . . . . . . . . . . . . . . 111--125
M. A. Fontelos and
U. Kindelán The Shape of Charged Drops over a Solid
Surface and Symmetry-Breaking
Instabilities . . . . . . . . . . . . . 126--148
Fabrizio Clarelli and
Antonio Fasano and
Roberto Natalini Mathematics and Monument Conservation:
Free Boundary Models of Marble Sulfation 149--168
Andreas Knoblauch Neural Associative Memory and the
Willshaw--Palm Probability Distribution 169--196
Andreas Knoblauch Closed-form Expressions for the Moments
of the Binomial Probability Distribution 197--204
Olivier Faugeras and
François Grimbert and
Jean-Jacques Slotine Absolute Stability and Complete
Synchronization in a Class of Neural
Fields Models . . . . . . . . . . . . . 205--250
A. A. Golovin and
B. J. Matkowsky and
V. A. Volpert Turing Pattern Formation in the
Brusselator Model with Superdiffusion 251--272
Xinfu Chen and
Yuanwei Qi Propagation of Local Disturbances in
Reaction Diffusion Systems Modeling
Quadratic Autocatalysis . . . . . . . . 273--282
Jinbiao Wu and
C. Sean Bohun and
Huaxiong Huang A Thermal Elastic Model for Directional
Crystal Growth with Weak Anisotropy . . 283--304
A. S. Ellis and
F. T. Smith A Continuum Model for a Chute Flow of
Grains . . . . . . . . . . . . . . . . . 305--329
H. Huang and
R. M. Miura and
J. J. Wylie Optical Fiber Drawing and Dopant
Transport . . . . . . . . . . . . . . . 330--347
M. D. Korzec and
P. L. Evans and
A. Münch and
B. Wagner Stationary Solutions of Driven Fourth-
and Sixth-Order Cahn--Hilliard-Type
Equations . . . . . . . . . . . . . . . 348--374
Zhi-An Wang and
Thomas Hillen and
Michael Li Mesenchymal Motion Models in One
Dimension . . . . . . . . . . . . . . . 375--397
Bair V. Budaev and
David B. Bogy Diffraction by a Nonconvex Polygon . . . 398--418
Juncheng Wei and
Matthias Winter Mutually Exclusive Spiky Pattern and
Segmentation Modeled by the
Five-Component Meinhardt--Gierer System 419--452
Ehud Yariv Thermophoresis Due to Strong Temperature
Gradients . . . . . . . . . . . . . . . 453--472
K. B. Glasner Ostwald Ripening in Thin Film Equations 473--493
L. L. Bonilla and
L. Barletti and
M. Alvaro Nonlinear Electron and Spin Transport in
Semiconductor Superlattices . . . . . . 494--513
W. E. Olmstead and
Catherine A. Roberts Thermal Blow-up in a Subdiffusive Medium 514--523
Riccardo Rosso and
Marco Verani Stabilizing Role of a Curvature
Correction to Line Tension . . . . . . . 524--551
Brenton R. Stone and
Gino Biondini and
William L. Kath Statistics of Polarization-Mode
Dispersion Emulators with Unequal
Sections . . . . . . . . . . . . . . . . 552--564
Bastian Gebauer and
Otmar Scherzer Impedance-Acoustic Tomography . . . . . 565--576
Hyeonbae Kang and
Eunjoo Kim and
Graeme W. Milton Inclusion Pairs Satisfying Eshelby's
Uniformity Property . . . . . . . . . . 577--595
Yihong Du and
Peter Y. H. Pang and
Mingxin Wang Qualitative Analysis of a Prey-Predator
Model with Stage Structure for the
Predator . . . . . . . . . . . . . . . . 596--620
Yilei Tang and
Deqing Huang and
Shigui Ruan and
Weinian Zhang Coexistence of Limit Cycles and
Homoclinic Loops in a SIRS Model with a
Nonlinear Incidence Rate . . . . . . . . 621--639
Tianyu Zhang and
N. G. Cogan and
Qi Wang Phase Field Models for Biofilms. I.
Theory and One-Dimensional Simulations 641--669
Ani P. Velo and
George A. Gazonas and
Erwin Bruder and
Nancy Rodriguez Recursive Dispersion Relations in
One-Dimensional Periodic Elastic Media 670--689
Rudy L. Horne and
Christopher K. R. T. Jones and
Tobias Schäfer The Suppression of Four-Wave Mixing by
Random Dispersion . . . . . . . . . . . 690--703
Shu Dai and
David G. Schaeffer Spectrum of a Linearized Amplitude
Equation for Alternans in a Cardiac
Fiber . . . . . . . . . . . . . . . . . 704--719
James Glimm and
Xiaomei Ji and
Jiequan Li and
Xiaolin Li and
Peng Zhang and
Tong Zhang and
Yuxi Zheng Transonic Shock Formation in a
Rarefaction Riemann Problem for the $2$D
Compressible Euler Equations . . . . . . 720--742
Guido Kampel and
Guillermo H. Goldsztein Filters. The Number of Channels That Can
Clog in a Network . . . . . . . . . . . 743--762
Michael Renardy Short Wave Stability for Inviscid Shear
Flow . . . . . . . . . . . . . . . . . . 763--768
David G. Schaeffer and
Richard M. Iverson Steady and Intermittent Slipping in a
Model of Landslide Motion Regulated by
Pore-Pressure Feedback . . . . . . . . . 769--786
Maria-Carme Calderer and
Sookyung Joo A Continuum Theory of Chiral Smectic C
Liquid Crystals . . . . . . . . . . . . 787--809
P. Eloe and
R. H. Liu and
M. Yatsuki and
G. Yin and
Q. Zhang Optimal Selling Rules in a
Regime-Switching Exponential Gaussian
Diffusion Model . . . . . . . . . . . . 810--829
X. Antoine and
B. Pinçon and
K. Ramdani and
B. Thierry Far Field Modeling of Electromagnetic
Time Reversal and Application to
Selective Focusing on Small Scatterers 830--844
Michael Zabarankin The Framework of $k$-Harmonically
Analytic Functions for Three-Dimensional
Stokes Flow Problems, Part I . . . . . . 845--880
Michael Zabarankin The Framework of $k$-Harmonically
Analytic Functions for Three-Dimensional
Stokes Flow Problems, Part II . . . . . 881--907
Maarten V. De Hoop and
Knut Sòlna Estimating a Green's Function from
``Field-Field'' Correlations in a Random
Medium . . . . . . . . . . . . . . . . . 909--932
O. Gonzalez On Stable, Complete, and
Singularity-Free Boundary Integral
Formulations of Exterior Stokes Flow . . 933--958
Ryusuke Kon and
Sebastian J. Schreiber Multiparasitoid-Host Interactions with
Egg-Limited Encounter Rates . . . . . . 959--976
Guy Shinar and
Uri Alon and
Martin Feinberg Sensitivity and Robustness in Chemical
Reaction Networks . . . . . . . . . . . 977--998
Timothy C. Reluga and
Harel Dahari and
Alan S. Perelson Analysis of Hepatitis C Virus Infection
Models with Hepatocyte Homeostasis . . . 999--1023
Noam Zeev and
Fioralba Cakoni The Identification of Thin Dielectric
Objects from Far Field or Near Field
Scattering Data . . . . . . . . . . . . 1024--1042
Pradeep Thiyanaratnam and
Russel Caflisch and
Paulo S. Motta and
Jack W. Judy Modeling, Simulation, and Design for a
Customizable Electrodeposition Process 1043--1064
Renaud Marty and
Knut Sòlna Acoustic Waves in Long Range Random
Media . . . . . . . . . . . . . . . . . 1065--1083
D. J. Needham and
S. Langdon and
G. S. Busswell and
J. P. Gilchrist The Unsteady Flow of a Weakly
Compressible Fluid in a Thin Porous
Layer I: Two-Dimensional Theory . . . . 1084--1109
Mau-Hsiang Shih and
Feng-Sheng Tsai Growth Dynamics of Cell Assemblies . . . 1110--1161
Naoufel Ben Abdallah and
François Castella and
Fanny Delebecque-Fendt and
Florian Méhats The Strongly Confined
Schrödinger--Poisson System for the
Transport of Electrons in a Nanowire . . 1162--1173
A. Zagaris and
A. Doelman and
N. N. Pham Thi and
B. P. Sommeijer Blooming in a Nonlocal, Coupled
Phytoplankton-Nutrient Model . . . . . . 1174--1204
Jifa Jiang and
Zhipeng Qiu The Complete Classification for Dynamics
in a Nine-Dimensional West Nile Virus
Model . . . . . . . . . . . . . . . . . 1205--1227
David Iron and
Theodore Kolokolonikov and
John Rumsey and
Juncheng Wei Stability of Curved Interfaces in the
Perturbed Two-Dimensional Allen--Cahn
System . . . . . . . . . . . . . . . . . 1228--1243
Pablo Aguirre and
Eduardo González-Olivares and
Eduardo Sáez Three Limit Cycles in a Leslie--Gower
Predator-Prey Model with Additive Allee
Effect . . . . . . . . . . . . . . . . . 1244--1262
Natalia Strong Double-Diffusive Convection in a Porous
Layer in the Presence of Vibration . . . 1263--1276
John Fricks and
Lingxing Yao and
Timothy C. Elston and
M. Gregory Forest Time-Domain Methods for Diffusive
Transport in Soft Matter . . . . . . . . 1277--1308
V. Kubzina and
A. K. Gautesen and
L. Ju. Fradkin Diffraction by a Semi-Infinite
Interfacial Crack Sandwiched between Two
Isotropic Half Planes . . . . . . . . . 1309--1333
V. A. Galaktionov and
P. J. Harwin On Center Subspace Behavior in Thin Film
Equations . . . . . . . . . . . . . . . 1334--1358
Pawel Hitczenko and
Georgi S. Medvedev Bursting Oscillations Induced by Small
Noise . . . . . . . . . . . . . . . . . 1359--1392
Haoyun Xu and
Yang Xiang Derivation of a Continuum Model for the
Long-Range Elastic Interaction on
Stepped Epitaxial Surfaces in $2+1$
Dimensions . . . . . . . . . . . . . . . 1393--1414
Stephen M. Cox and
Stephen C. Creagh Voltage and Current Spectra for Matrix
Power Converters . . . . . . . . . . . . 1415--1437
Darko Volkov A Double Layer Surface Traction Free
Green's Tensor . . . . . . . . . . . . . 1438--1456
Charles Knessl and
John A. Morrison A Two-Dimensional Diffusion
Approximation for a Loss Model with
Trunk Reservation . . . . . . . . . . . 1457--1476
Jérôme Monnier and
Patrick Witomski and
Patrick Chow-Wing-Bom and
Claire Scheid Numerical Modeling of Electrowetting by
a Shape Inverse Approach . . . . . . . . 1477--1500
Mai Duc Thanh The Riemann Problem for a Nonisentropic
Fluid in a Nozzle with Discontinuous
Cross-Sectional Area . . . . . . . . . . 1501--1519
Rupanwita Gayen and
B. N. Mandal Scattering of Surface Water Waves by a
Floating Elastic Plate in Two Dimensions 1520--1541
Meina Sun Interactions of Elementary Waves for the
Aw--Rascle Model . . . . . . . . . . . . 1542--1558
Sean Lynch and
Charles Knessl Drift-Diffusion Past a Circle: Shadow
Region Asymptotics . . . . . . . . . . . 1559--1579
Yonghui Xia and
Maoan Han New Conditions on the Existence and
Stability of Periodic Solution in
Lotka--Volterra's Population System . . 1580--1597
Viet Ha Hoang Bounds for the Effective Stress of
Classical and Strain Gradient Plastic
Composites . . . . . . . . . . . . . . . 1598--1617
Theodoros Katsaounis and
Athanasios E. Tzavaras Effective Equations for Localization and
Shear Band Formation . . . . . . . . . . 1618--1643
Azmy S. Ackleh and
Keng Deng A Nonautonomous Juvenile-Adult Model:
Well-Posedness and Long-Time Behavior
via a Comparison Principle . . . . . . . 1644--1661
Bastian Harrach and
Jin Keun Seo Detecting Inclusions in Electrical
Impedance Tomography Without Reference
Measurements . . . . . . . . . . . . . . 1662--1681
René Carmona and
Lixin Wang Monte Carlo Malliavin Computation of the
Sensitivities of Solutions of SPDEs . . 1682--1711
Rustum Choksi and
Mark A. Peletier and
J. F. Williams On the Phase Diagram for Microphase
Separation of Diblock Copolymers: An
Approach via a Nonlocal Cahn--Hilliard
Functional . . . . . . . . . . . . . . . 1712--1738
Giuseppe Mulone and
Brian Straughan Nonlinear Stability for Diffusion Models
in Biology . . . . . . . . . . . . . . . 1739--1758
Sungwhan Kim and
Jin Keun Seo and
Taeyoung Ha A Nondestructive Evaluation Method for
Concrete Voids: Frequency Differential
Electrical Impedance Scanning . . . . . 1759--1771
Aubrey Clayton and
Steven N. Evans Mutation-Selection Balance with
Recombination: Convergence to
Equilibrium for Polynomial Selection
Costs . . . . . . . . . . . . . . . . . 1772--1792
C. Atkinson A Free Boundary Problem of a Real Option
Model . . . . . . . . . . . . . . . . . 1793--1804
J. S. H. van Leeuwaarden and
N. M. Temme Asymptotic Inversion of the Erlang B
Formula . . . . . . . . . . . . . . . . 1--23
Pak-Wing Fok and
Tom Chou Interface Growth Driven by Surface
Kinetics and Convection . . . . . . . . 24--39
Peter Hinow and
Frank Le Foll and
Pierre Magal and
Glenn F. Webb Analysis of a Model for Transfer
Phenomena in Biological Populations . . 40--62
Livio Gibelli and
Stefano Turzi A Catastrophe-Theoretic Approach to
Tricritical Points with Application to
Liquid Crystals . . . . . . . . . . . . 63--76
Samuel A. Isaacson The Reaction-Diffusion Master Equation
as an Asymptotic Approximation of
Diffusion to a Small Target . . . . . . 77--111
Mario S. Mommer and
Dirk Lebiedz Modeling Subdiffusion Using Reaction
Diffusion Systems . . . . . . . . . . . 112--132
Chuan Xue and
Hans G. Othmer Multiscale Models of Taxis-Driven
Patterning in Bacterial Populations . . 133--167
Johannes Elschner and
George C. Hsiao and
Andreas Rathsfeld An Optimization Method in Inverse
Acoustic Scattering by an Elastic
Obstacle . . . . . . . . . . . . . . . . 168--187
Horst R. Thieme Spectral Bound and Reproduction Number
for Infinite-Dimensional Population
Structure and Time Heterogeneity . . . . 188--211
D. E. Moulton and
J. A. Pelesko Catenoid in an Electric Field . . . . . 212--230
Christian Engström and
Markus Richter On the Spectrum of an Operator Pencil
with Applications to Wave Propagation in
Periodic and Frequency Dependent
Materials . . . . . . . . . . . . . . . 231--247
Ronny Straube and
Michael J. Ward An Asymptotic Analysis of Intracellular
Signaling Gradients Arising from
Multiple Small Compartments . . . . . . 248--269
Adrianus T. de Hoop Analytic Solutions for a Class of
Point-Source Excited Transient Wave
Motions in Anisotropic, Lossy Media . . 270--278
Francisco de la Hoz Numerical Study of a Flow of Regular
Planar Curves That Develop Singularities
at Finite Time . . . . . . . . . . . . . 279--301
Daniel Coombs and
Ronny Straube and
Michael Ward Diffusion on a Sphere with Localized
Traps: Mean First Passage Time,
Eigenvalue Asymptotics, and Fekete
Points . . . . . . . . . . . . . . . . . 302--332
Zakaria Belhachmi and
Dorin Bucur and
Bernhard Burgeth and
Joachim Weickert How to Choose Interpolation Data in
Images . . . . . . . . . . . . . . . . . 333--352
Lin Zhou and
Gregory A. Kriegsmann A Simple Derivation of Microstrip
Transmission Line Equations . . . . . . 353--367
Rui Peng and
Junping Shi and
Mingxin Wang Erratum: Stationary Pattern of a
Ratio-Dependent Food Chain Model with
Diffusion . . . . . . . . . . . . . . . 368--368
Keith Promislow and
Brian Wetton PEM Fuel Cells: a Mathematical Overview 369--409
Vladimir Gurau and
J. Adin Mann, Jr. A Critical Overview of Computational
Fluid Dynamics Multiphase Models for
Proton Exchange Membrane Fuel Cells . . 410--454
M. Vynnycky and
G. Shugai and
P. Yakubenko and
N. Mellgren Asymptotic Reduction for Numerical
Modeling of Polymer Electrolyte Fuel
Cells . . . . . . . . . . . . . . . . . 455--487
Adam Z. Weber and
John Newman Using a Quasi-Potential Transformation
for Modeling Diffusion Media in
Polymer-Electrolyte Fuel Cells . . . . . 488--509
Joseph D. Fehribach and
Ryan O'Hayre Triple Phase Boundaries in Solid-Oxide
Cathodes . . . . . . . . . . . . . . . . 510--530
A. A. Kulikovsky Efficient Parallel Algorithm for Fuel
Cell Stack Simulation . . . . . . . . . 531--542
Joseph D. Fehribach Vector-Space Methods and Kirchhoff
Graphs for Reaction Networks . . . . . . 543--562
Roland Potthast and
Martin Wannert Uniqueness of Current Reconstructions
for Magnetic Tomography in Multilayer
Devices . . . . . . . . . . . . . . . . 563--578
Benedetto Bozzini and
Ivonne Sgura A Mathematical Model for the Corrosion
of Metallic Bipolar Plates in PEM Fuel
Cells: Numerical and Experimental Issues 579--599
Pengtao Sun and
Guangri Xue and
Chaoyang Wang and
Jinchao Xu New Numerical Techniques for a
Three-Dimensional Liquid-Feed Direct
Methanol Fuel Cell Model . . . . . . . . 600--620
Kurt Chudej and
Hans Josef Pesch and
Kati Sternberg Optimal Control of Load Changes for
Molten Carbonate Fuel Cell Systems: a
Challenge in PDE Constrained
Optimization . . . . . . . . . . . . . . 621--639
Fuke Wu and
Yong Xu Stochastic Lotka--Volterra Population
Dynamics with Infinite Delay . . . . . . 641--657
C. Pierre and
F. Plouraboué Numerical Analysis of a New Mixed
Formulation for Eigenvalue
Convection-Diffusion Problems . . . . . 658--676
Anne-Sophie Bonnet-Ben Dhia and
Ghania Dakhia and
Christophe Hazard and
Lahc\`ene Chorfi Diffraction by a Defect in an Open
Waveguide: a Mathematical Analysis Based
on a Modal Radiation Condition . . . . . 677--693
S. Alp Azizoglu and
S. Sencer Koc and
O. Merih Buyukdura Time Domain Scattering of Scalar Waves
by Two Spheres in Free-Space . . . . . . 694--709
Salvatore La Rosa and
Giovanni Mascali and
Vittorio Romano Exact Maximum Entropy Closure of the
Hydrodynamical Model for Si
Semiconductors: The 8-Moment Case . . . 710--734
Stéphane Junca and
Bruno Lombard Dilatation of a One-Dimensional
Nonlinear Crack Impacted by a Periodic
Elastic Wave . . . . . . . . . . . . . . 735--761
Ani P. Velo and
George A. Gazonas and
Takanobu Ameya $z$-Transform Methods for the Optimal
Design of One-Dimensional Layered
Elastic Media . . . . . . . . . . . . . 762--788
D. G. Aronson and
Víctor Padrón Pattern Formation in a Model of an
Injured Nerve Fiber . . . . . . . . . . 789--802
Toshikazu Kimura American Continuous-Installment Options:
Valuation and Premium Decomposition . . 803--824
Yuliy Baryshnikov and
Robert Ghrist Target Enumeration via Euler
Characteristic Integrals . . . . . . . . 825--844
D. Tseluiko and
M. G. Blyth and
D. T. Papageorgiou and
J.-M. Vanden-Broeck Viscous Electrified Film Flow over Step
Topography . . . . . . . . . . . . . . . 845--865
Gary J. Sharpe Thermal-Diffusive Instability of
Premixed Flames for a Simple
Chain-Branching Chemistry Model with
Finite Activation Energy . . . . . . . . 866--884
Muhammad Hameed and
Jeffrey F. Morris Breakup of a Liquid Jet Containing Solid
Particles: a Singularity Approach . . . 885--900
G. W. Jones and
S. J. Chapman and
D. J. Allwright Asymptotic Analysis of a Buckling
Problem for an Embedded Spherical Shell 901--922
Y. A. Antipov and
A. Y. Zemlyanova Motion of a Yawed Supercavitating Wedge
Beneath a Free Surface . . . . . . . . . 923--948
A. Singer and
J. Norbury A Poisson--Nernst--Planck Model for
Biological Ion Channels --- An
Asymptotic Analysis in a
Three-Dimensional Narrow Funnel . . . . 949--968
K. Kobayashi and
Yu. Shestopalov and
Yu. Smirnov Investigation of Electromagnetic
Diffraction by a Dielectric Body in a
Waveguide Using the Method of Volume
Singular Integral Equation . . . . . . . 969--983
Radek Erban and
S. Jonathan Chapman and
Ioannis G. Kevrekidis and
Tomá\vs Vejchodský Analysis of a Stochastic Chemical System
Close to a SNIPER Bifurcation of Its
Mean-Field Model . . . . . . . . . . . . 984--1016
John McHugh Progressive Internal Waves of Permanent
Form . . . . . . . . . . . . . . . . . . 1017--1031
Ashley B. Pitcher Optimal Strategies for a Two-Runner
Model of Middle-Distance Running . . . . 1032--1046
F. de la Hoz and
C. J. García-Cervera and
L. Vega A Numerical Study of the Self-Similar
Solutions of the Schrödinger Map . . . . 1047--1077
Guillermo H. Goldsztein Clogging of Multigraphs as Toy Models of
Filters . . . . . . . . . . . . . . . . 1078--1096
Alfred S. Carasso False Characteristic Functions and Other
Pathologies in Variational Blind
Deconvolution. A Method of Recovery . . 1097--1119
Xiaofeng Ren and
Juncheng Wei Oval Shaped Droplet Solutions in the
Saturation Process of Some Pattern
Formation Problems . . . . . . . . . . . 1120--1138
M. V. Koroteev and
I. I. Lipatov Supersonic Boundary Layer in Regions
with Small Temperature Perturbations on
the Wall . . . . . . . . . . . . . . . . 1139--1156
J. Bruining and
A. A. Mailybaev and
D. Marchesin Filtration Combustion in Wet Porous
Medium . . . . . . . . . . . . . . . . . 1157--1177
Jing Xia and
Zhihua Liu and
Rong Yuan and
Shigui Ruan The Effects of Harvesting and Time Delay
on Predator-prey Systems with Holling
Type II Functional Response . . . . . . 1178--1200
Andrey V. Shanin Weinstein's Diffraction Problem:
Embedding Formula and Spectral Equation
in Parabolic Approximation . . . . . . . 1201--1218
Dag Wessel-Berg On a Linear Stability Problem Related to
Underground CO$_2$ Storage . . . . . . . 1219--1238
Norbert Ortner and
Peter Wagner On Conical Refraction in Hexagonal and
Cubic Media . . . . . . . . . . . . . . 1239--1259
Bacim Alali and
Robert Lipton Optimal Lower Bounds on Local Stress
inside Random Media . . . . . . . . . . 1260--1282
Tilo Arens and
Armin Lechleiter and
D. Russell Luke MUSIC for Extended Scatterers as an
Instance of the Factorization Method . . 1283--1304
Marie E. Rognes and
M.-Carme Calderer and
Catherine A. Micek Modelling of and Mixed Finite Element
Methods for Gels in Biomedical
Applications . . . . . . . . . . . . . . 1305--1329
Volker Elling Instability of Strong Regular Reflection
and Counterexamples to the Detachment
Criterion . . . . . . . . . . . . . . . 1330--1340
Lena Noethen and
Sebastian Walcher Quasi-Steady State and Nearly Invariant
Sets . . . . . . . . . . . . . . . . . . 1341--1363
Petro Babak and
Anne Bourlioux and
Thomas Hillen The Effect of Wind on the Propagation of
an Idealized Forest Fire . . . . . . . . 1364--1388
Ani P. Velo and
George A. Gazonas and
Takanobu Ameya Erratum: $z$-Transform Methods for the
Optimal Design of One-Dimensional
Layered Elastic Media . . . . . . . . . 1736--1737