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Sharp interface limit in a phase field model of cell motility

Networks and Heterogeneous Media  Volume 12, Issue 4, Pages : 551 - 590, 2017

Leonid Berlyand - (email), Mykhailo Potomkin - (email), Volodymyr Rybalko - (email)

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A stochastic control problem and related free boundaries in finance

Mathematical Control and Related Fields  Volume 7, Issue 4, Pages : 563 - 584, 2017

Chonghu Guan - (email), Xun Li - (email), Zuo Quan Xu - (email), Fahuai Yi - (email)

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On free boundary problem for compressible Navier-Stokes equations with temperature-dependent heat conductivity

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 10, Pages : 3903 - 3919, 2017

Zilai Li - (email), Zhenhua Guo - (email)

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4

Two- and multi-phase quadrature surfaces

Communications on Pure and Applied Analysis  Volume 16, Issue 6, Pages : 2023 - 2045, 2017

Avetik Arakelyan - (email), Henrik Shahgholian - (email), Jyotshana V. Prajapat - (email)

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Traveling wave solutions of a reaction-diffusion predator-prey model

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1063 - 1078, 2017

Jiang Liu - (email), Xiaohui Shang - (email), Zengji Du - (email)

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6

The risk index for an SIR epidemic model and spatial spreading of the infectious disease

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1565 - 1583, 2017

Min Zhu - (email), Xiaofei Guo - (email), Zhigui Lin - (email)

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Traveling waves in a three species competition-cooperation system

Communications on Pure and Applied Analysis  Volume 16, Issue 4, Pages : 1103 - 1119, 2017

Xiaojie Hou - (email), Yi Li - (email)

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8

Stability results for discontinuous nonlinear elliptic and parabolic problems with a S-shaped bifurcation branch of stationary solutions

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 1757 - 1778, 2017

Sabri Bensid - (email), Jesús Ildefonso Díaz - (email)

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9

Monotonicity and uniqueness of wave profiles for a three components lattice dynamical system

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2813 - 2827, 2017

Chin-Chin Wu - (email)

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10

Traveling wave solutions for a one dimensional model Of cell-to-cell adhesion and diffusion with monostable reaction term

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 3, Pages : 395 - 412, 2017

Lianzhang Bao - (email), Zhengfang Zhou - (email)

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Dynamics of a nonlocal SIS epidemic model with free boundary

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 247 - 266, 2016

Jia-Feng Cao - (email), Wan-Tong Li - (email), Fei-Ying Yang - (email)

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12

Global weak solution to 3D compressible flows with density-dependent viscosity and free boundary

Communications on Pure and Applied Analysis  Volume 16, Issue 1, Pages : 1 - 23, 2016

Mei Wang - (email), Zilai Li - (email), Zhenhua Guo - (email)

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13

On the symmetry of spatially periodic two-dimensional water waves

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 7057 - 7061, 2016

Florian Kogelbauer - (email)

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14

Linearized hydro-elasticity: A numerical study

Evolution Equations and Control Theory  Volume 5, Issue 4, Pages : 533 - 559, 2016

Lorena Bociu - (email), Steven Derochers - (email), Daniel Toundykov - (email)

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On the Rayleigh-Taylor instability for the compressible non-isentropic inviscid fluids with a free interface

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2767 - 2784, 2016

Jing Wang - (email), Feng Xie - (email)

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16

Convergence rate of free boundary of numerical scheme for American option

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 5, Pages : 1435 - 1444, 2016

Xinfu Chen - (email), Bei Hu - (email), Jin Liang - (email), Yajing Zhang - (email)

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17

A revisit to the diffusive logistic model with free boundary condition

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 837 - 847, 2016

Wenzhen Gan - (email), Peng Zhou - (email)

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Diffusive KPP equations with free boundaries in time almost periodic environments: I. Spreading and vanishing dichotomy

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 3317 - 3338, 2015

Fang Li - (email), Xing Liang - (email), Wenxian Shen - (email)

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19

A diffusive logistic problem with a free boundary in time-periodic environment: Favorable habitat or unfavorable habitat

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 13 - 35, 2015

Qiaoling Chen - (email), Fengquan Li - (email), Feng Wang - (email)

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20

Stability of interacting traveling waves in reaction-convection-diffusion systems

DCDS Supplements  Volume 2015, Issue special, Pages : 258 - 266, 2015

Grigori Chapiro - (email), Lucas Furtado - (email), Dan Marchesin - (email), Stephen Schecter - (email)

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21

Multidimensional stability of planar traveling waves for the scalar nonlocal Allen-Cahn equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 5, Pages : 2473 - 2496, 2015

Grégory Faye - (email)

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22

Global existence of weak solution to the free boundary problem for compressible Navier-Stokes

Kinetic and Related Models  Volume 9, Issue 1, Pages : 75 - 103, 2015

Zhenhua Guo - (email), Zilai Li - (email)

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Remarks on the free boundary problem of compressible Euler equations in physical vacuum with general initial densities

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 2885 - 2931, 2015

Chengchun Hao - (email)

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24

The reaction-diffusion system for an SIR epidemic model with a free boundary

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 2039 - 2050, 2015

Haomin Huang - (email), Mingxin Wang - (email)

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The spreading fronts in a mutualistic model with advection

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 2089 - 2105, 2015

Mei Li - (email), Zhigui Lin - (email)

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26

Lipschitz continuity of free boundary in the continuous casting problem with divergence form elliptic equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 261 - 277, 2015

Aram L. Karakhanyan - (email)

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Singly periodic free boundary minimal surfaces in a solid cylinder of $\mathbb{R}^3$

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 4987 - 5001, 2015

Filippo Morabito - (email)

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Traveling waves of a mutualistic model of mistletoes and birds

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1743 - 1765, 2014

Chuncheng Wang - (email), Rongsong Liu - (email), Junping Shi - (email), Carlos Martinez del Rio - (email)

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29

The diffusive competition model with a free boundary: Invasion of a superior or inferior competitor

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 10, Pages : 3105 - 3132, 2014

Yihong Du - (email), Zhigui Lin - (email)

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30

On a linear problem arising in dynamic boundaries

Evolution Equations and Control Theory  Volume 3, Issue 4, Pages : 627 - 644, 2014

Marcelo Disconzi - (email)

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31

A continuous phenotype space model of RNA virus evolution within a host

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 919 - 927, 2014

Andrei Korobeinikov - (email), Conor Dempsey - (email)

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32

Steady-states and traveling-wave solutions of the generalized Constantin--Lax--Majda equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 8, Pages : 3155 - 3170, 2014

Hisashi Okamoto - (email), Takashi Sakajo - (email), Marcus Wunsch - (email)

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33

Constructing set-valued fundamental diagrams from Jamiton solutions in second order traffic models

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 745 - 772, 2013

Benjamin Seibold - (email), Morris R. Flynn - (email), Aslan R. Kasimov - (email), Rodolfo R. Rosales - (email)

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34

The infected frontier in an SEIR epidemic model with infinite delay

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2355 - 2376, 2013

Zhigui Lin - (email), Yinan Zhao - (email), Peng Zhou - (email)

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35

Spreading speed and traveling waves for a two-species weak competition system with free boundary

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2441 - 2455, 2013

Chang-Hong Wu - (email)

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36

Existence and linear stability of solutions of the ballistic VSC model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 1, Pages : 35 - 51, 2013

Joost Hulshof - (email), Robert Nolet - (email), Georg Prokert - (email)

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37

Modeling contact inhibition of growth: Traveling waves

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 131 - 147, 2013

Michiel Bertsch - (email), Masayasu Mimura - (email), Tohru Wakasa - (email)

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38

A relaxation method for one dimensional traveling waves of singular and nonlocal equations

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1459 - 1491, 2013

Weiran Sun - (email), Min Tang - (email)

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39

Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 8, Pages : 3567 - 3582, 2013

Armengol Gasull - (email), Hector Giacomini - (email), Joan Torregrosa - (email)

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40

Sensitivity analysis for a free boundary fluid-elasticity interaction

Evolution Equations and Control Theory  Volume 2, Issue 1, Pages : 55 - 79, 2013

Lorena Bociu - (email), Jean-Paul Zolésio - (email)

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41

The diffusive logistic model with a free boundary and seasonal succession

Discrete and Continuous Dynamical Systems  Volume 33, Issue 5, Pages : 2007 - 2031, 2012

Rui Peng - (email), Xiao-Qiang Zhao - (email)

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42

Spreading speed revisited: Analysis of a free boundary model

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 583 - 603, 2012

Gary Bunting - (email), Yihong Du - (email), Krzysztof Krakowski - (email)

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43

On the optimal control for a semilinear equation with cost depending on the free boundary

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 605 - 615, 2012

Jésus Ildefonso Díaz - (email), Tommaso Mingazzini - (email), Ángel Manuel Ramos - (email)

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44

A Lattice model on somitogenesis of zebrafish

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2789 - 2814, 2012

Kang-Ling Liao - (email), Chih-Wen Shih - (email)

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45

Spreading speeds and traveling waves for non-cooperative integro-difference systems

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 2243 - 2266, 2012

Haiyan Wang - (email), Carlos Castillo-Chavez - (email)

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46

Multi-dimensional traveling fronts in bistable reaction-diffusion equations

Discrete and Continuous Dynamical Systems  Volume 32, Issue 3, Pages : 1011 - 1046, 2011

Masaharu Taniguchi - (email)

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47

Traveling wave solution for a lattice dynamical system with convolution type nonlinearity

Discrete and Continuous Dynamical Systems  Volume 32, Issue 1, Pages : 101 - 124, 2011

Jong-Shenq Guo - (email), Ying-Chih Lin - (email)

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Stability of traveling waves for systems of nonlinear integral recursions in spatial population biology

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 895 - 925, 2011

Judith R. Miller - (email), Huihui Zeng - (email)

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49

Existence of traveling wavefront for discrete bistable competition model

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 973 - 984, 2011

Chin-Chin Wu - (email)

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50

Traveling waves in Fermi-Pasta-Ulam lattices with saturable nonlinearities

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 835 - 849, 2011

Alexander Pankov - (email), Vassilis M. Rothos - (email)

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51

Existence and uniqueness of traveling waves in a class of unidirectional lattice differential equations

Discrete and Continuous Dynamical Systems  Volume 30, Issue 1, Pages : 137 - 167, 2011

Aaron Hoffman - (email), Benjamin Kennedy - (email)

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52

Traveling waves and their stability in a coupled reaction diffusion system

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 141 - 160, 2010

Xiaojie Hou - (email), Wei Feng - (email)

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53

The heterogeneous dam problem with leaky boundary condition

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 93 - 125, 2010

Samia Challal - (email), Abdeslem Lyaghfouri - (email)

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54

Groundwater flow in a fissurised porous stratum

Networks and Heterogeneous Media  Volume 5, Issue 4, Pages : 765 - 782, 2010

Michiel Bertsch - (email), Carlo Nitsch - (email)

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Solvability of the free boundary value problem of the Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 29, Issue 3, Pages : 769 - 801, 2010

Hantaek Bae - (email)

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56

Traveling wave solutions for Lotka-Volterra system re-visited

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 1, Pages : 171 - 196, 2010

Anthony W. Leung - (email), Xiaojie Hou - (email), Wei Feng - (email)

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Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary

Kinetic and Related Models  Volume 3, Issue 3, Pages : 409 - 425, 2010

Feimin Huang - (email), Xiaoding Shi - (email), Yi Wang - (email)

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Asymptotic stability of traveling wavefronts in a delayed population model with stage structure on a two-dimensional spatial lattice

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 3, Pages : 559 - 575, 2010

Cui-Ping Cheng - (email), Wan-Tong Li - (email), Zhi-Cheng Wang - (email)

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59

Spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients and vacuum

Communications on Pure and Applied Analysis  Volume 9, Issue 2, Pages : 459 - 481, 2009

Wenjun Wang - (email), Lei Yao - (email)

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60

Front propagation for a two-dimensional periodic monostable lattice dynamical system

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 197 - 223, 2009

Jong-Shenq Guo - (email), Chang-Hong Wu - (email)

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Traveling wave solutions for a reaction diffusion equation with double degenerate nonlinearities

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 265 - 290, 2009

Xiaojie Hou - (email), Yi Li - (email), Kenneth R. Meyer - (email)

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Nonlocal spatially inhomogeneous Hamilton-Jacobi equation with unusual free boundary

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 493 - 519, 2009

Yoshikazu Giga - (email), Przemysław Górka - (email), Piotr Rybka - (email)

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Dependence of propagation speed on invader species: The effect of the predatory commensalism in two-prey, one-predator system with diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 4, Pages : 797 - 825, 2009

Sungrim Seirin Lee - (email)

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Some remarks on traveling wave solutions in competition models

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 2, Pages : 389 - 399, 2009

Bingtuan Li - (email)

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Spatial spread of sexually transmitted diseases within susceptible populations at demographic steady state

Mathematical Biosciences and Engineering  Volume 5, Issue 4, Pages : 713 - 727, 2008

Carlos Castillo-Chavez - (email), Bingtuan Li - (email)

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66

A vacuum problem for multidimensional compressible Navier-Stokes equations with degenerate viscosity coefficients

Communications on Pure and Applied Analysis  Volume 7, Issue 4, Pages : 987 - 1016, 2008

Ping Chen - (email), Ting Zhang - (email)

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Traveling waves to a reaction-diffusion equation

DCDS Supplements  Volume 2007, Issue Special, Pages : 382 - 390, 2007

Zhaosheng Feng - (email)

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68

Approximate solution of the Burgers-Korteweg-de Vries equation

Communications on Pure and Applied Analysis  Volume 6, Issue 2, Pages : 429 - 440, 2007

Zhaosheng Feng - (email), Yu Huang - (email)

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69

Global stability of traveling curved fronts in the Allen-Cahn equations

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 819 - 832, 2006

Hirokazu Ninomiya - (email), Masaharu Taniguchi - (email)

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70

Dynamical structure of one-phase model of solid combustion

DCDS Supplements  Volume 2005, Issue Special, Pages : 287 - 296, 2005

Michael L. Frankel - (email), Victor Roytburd - (email)

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71

Structure of a class of traveling waves in delayed cellular neural networks

Discrete and Continuous Dynamical Systems  Volume 13, Issue 2, Pages : 339 - 359, 2005

Cheng-Hsiung Hsu - (email), Suh-Yuh Yang - (email)

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72

A nonlocal eigenvalue problem for the stability of a traveling wave in a neuronal medium

Discrete and Continuous Dynamical Systems  Volume 10, Issue 4, Pages : 925 - 940, 2004

Jonathan E. Rubin - (email)

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73

Travelling waves for solid-gas reaction-diffusion systems

DCDS Supplements  Volume 2003, Issue Special, Pages : 872 - 879, 2003

C. van der Mee - (email), Stella Vernier Piro - (email)

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74

Traveling waves for a diffusive Lotka-Volterra competition model I: singular perturbations

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 1, Pages : 79 - 95, 2002

Yuzo Hosono - (email)

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Existence of semi-discrete shocks

Discrete and Continuous Dynamical Systems  Volume 8, Issue 1, Pages : 163 - 190, 2001

Sylvie Benzoni-Gavage - (email), Pierre Huot - (email)

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76

A free boundary problem arising from a stress-driven diffusion in polymers

Discrete and Continuous Dynamical Systems  Volume 2, Issue 2, Pages : 191 - 202, 1996

Hong-Ming Yin - (email)

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Global weak solutions of non-isothermal front propagation problem

Electronic Research Announcements of the AMS  Volume 13, Issue 0, Pages : 46 - 52,

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