
Previous Article
Existence result for a mixture of non Newtonian flows with stress diffusion using the CahnHilliard formulation
 DCDSB Home
 This Issue

Next Article
Positive entropic schemes for a nonlinear fourthorder parabolic equation
Instability of planar traveling waves in bistable reactiondiffusion systems
1.  Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo 1528552, Japan 
[1] 
Judith R. Miller, Huihui Zeng. Multidimensional stability of planar traveling waves for an integrodifference model. Discrete and Continuous Dynamical Systems  B, 2013, 18 (3) : 741751. doi: 10.3934/dcdsb.2013.18.741 
[2] 
Zhaohai Ma, Rong Yuan, Yang Wang, Xin Wu. Multidimensional stability of planar traveling waves for the delayed nonlocal dispersal competitive LotkaVolterra system. Communications on Pure and Applied Analysis, 2019, 18 (4) : 20692092. doi: 10.3934/cpaa.2019093 
[3] 
Grégory Faye. Multidimensional stability of planar traveling waves for the scalar nonlocal AllenCahn equation. Discrete and Continuous Dynamical Systems, 2016, 36 (5) : 24732496. doi: 10.3934/dcds.2016.36.2473 
[4] 
Rui Huang, Ming Mei, Yong Wang. Planar traveling waves for nonlocal dispersion equation with monostable nonlinearity. Discrete and Continuous Dynamical Systems, 2012, 32 (10) : 36213649. doi: 10.3934/dcds.2012.32.3621 
[5] 
Xiaojie Hou, Wei Feng. Traveling waves and their stability in a coupled reaction diffusion system. Communications on Pure and Applied Analysis, 2011, 10 (1) : 141160. doi: 10.3934/cpaa.2011.10.141 
[6] 
Yaping Wu, Niannian Yan. Stability of traveling waves for autocatalytic reaction systems with strong decay. Discrete and Continuous Dynamical Systems  B, 2017, 22 (4) : 16011633. doi: 10.3934/dcdsb.2017033 
[7] 
Fengxin Chen. Stability and uniqueness of traveling waves for system of nonlocal evolution equations with bistable nonlinearity. Discrete and Continuous Dynamical Systems, 2009, 24 (3) : 659673. doi: 10.3934/dcds.2009.24.659 
[8] 
Grigori Chapiro, Lucas Furtado, Dan Marchesin, Stephen Schecter. Stability of interacting traveling waves in reactionconvectiondiffusion systems. Conference Publications, 2015, 2015 (special) : 258266. doi: 10.3934/proc.2015.0258 
[9] 
JeChiang Tsai. Global exponential stability of traveling waves in monotone bistable systems. Discrete and Continuous Dynamical Systems, 2008, 21 (2) : 601623. doi: 10.3934/dcds.2008.21.601 
[10] 
Zigen Ouyang, Chunhua Ou. Global stability and convergence rate of traveling waves for a nonlocal model in periodic media. Discrete and Continuous Dynamical Systems  B, 2012, 17 (3) : 9931007. doi: 10.3934/dcdsb.2012.17.993 
[11] 
Judith R. Miller, Huihui Zeng. Stability of traveling waves for systems of nonlinear integral recursions in spatial population biology. Discrete and Continuous Dynamical Systems  B, 2011, 16 (3) : 895925. doi: 10.3934/dcdsb.2011.16.895 
[12] 
Tong Li, Jeungeun Park. Stability of traveling waves of models for image processing with nonconvex nonlinearity. Communications on Pure and Applied Analysis, 2018, 17 (3) : 959985. doi: 10.3934/cpaa.2018047 
[13] 
Ting Liu, GuoBao Zhang. Global stability of traveling waves for a spatially discrete diffusion system with time delay. Electronic Research Archive, 2021, 29 (4) : 25992618. doi: 10.3934/era.2021003 
[14] 
XiaoBiao Lin, Stephen Schecter. Traveling waves and shock waves. Discrete and Continuous Dynamical Systems, 2004, 10 (4) : iii. doi: 10.3934/dcds.2004.10.4i 
[15] 
WeiJie Sheng, WanTong Li. Multidimensional stability of timeperiodic planar traveling fronts in bistable reactiondiffusion equations. Discrete and Continuous Dynamical Systems, 2017, 37 (5) : 26812704. doi: 10.3934/dcds.2017115 
[16] 
Yoshihiro Ueda, Tohru Nakamura, Shuichi Kawashima. Stability of planar stationary waves for damped wave equations with nonlinear convection in multidimensional half space. Kinetic and Related Models, 2008, 1 (1) : 4964. doi: 10.3934/krm.2008.1.49 
[17] 
Jonathan J. Wylie, Robert M. Miura, Huaxiong Huang. Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves. Discrete and Continuous Dynamical Systems, 2009, 23 (1&2) : 561569. doi: 10.3934/dcds.2009.23.561 
[18] 
ZhaoXing Yang, GuoBao Zhang, Ge Tian, Zhaosheng Feng. Stability of nonmonotone noncritical traveling waves in discrete reactiondiffusion equations with time delay. Discrete and Continuous Dynamical Systems  S, 2017, 10 (3) : 581603. doi: 10.3934/dcdss.2017029 
[19] 
Rui Huang, Ming Mei, Kaijun Zhang, Qifeng Zhang. Asymptotic stability of nonmonotone traveling waves for timedelayed nonlocal dispersion equations. Discrete and Continuous Dynamical Systems, 2016, 36 (3) : 13311353. doi: 10.3934/dcds.2016.36.1331 
[20] 
Yicheng Jiang, Kaijun Zhang. Stability of traveling waves for nonlocal timedelayed reactiondiffusion equations. Kinetic and Related Models, 2018, 11 (5) : 12351253. doi: 10.3934/krm.2018048 
2021 Impact Factor: 1.497
Tools
Metrics
Other articles
by authors
[Back to Top]