Multidimensional stability of time-periodic planar traveling fronts in bistable reaction-diffusion equations

Wei-Jie Sheng;  ; Wan-Tong Li;

doi:10.3934/dcds.2017115

Multidimensional stability of time-periodic planar traveling fronts in bistable reaction-diffusion equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017115 ◽

2017 ◽

Vol 37 (5) ◽

pp. 2681-2704 ◽

Cited By ~ 1

Author(s):

Wei-Jie Sheng ◽

◽

Wan-Tong Li ◽

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Traveling Fronts ◽

Time Periodic

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Multidimensional stability of V-shaped traveling fronts in time periodic bistable reaction–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.07.035 ◽

2016 ◽

Vol 72 (6) ◽

pp. 1714-1726

Author(s):

Wei-Jie Sheng

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Traveling Fronts ◽

Time Periodic

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Periodic pyramidal traveling fronts of bistable reaction–diffusion equations with time-periodic nonlinearity

Journal of Differential Equations ◽

10.1016/j.jde.2011.09.016 ◽

2012 ◽

Vol 252 (3) ◽

pp. 2388-2424 ◽

Cited By ~ 25

Author(s):

Wei-Jie Sheng ◽

Wan-Tong Li ◽

Zhi-Cheng Wang

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Traveling Fronts ◽

Time Periodic

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Time periodic traveling curved fronts of bistable reaction–diffusion equations in RN

Applied Mathematics Letters ◽

10.1016/j.aml.2015.11.004 ◽

2016 ◽

Vol 54 ◽

pp. 22-30 ◽

Cited By ~ 10

Author(s):

Wei-Jie Sheng

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Time Periodic

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Traveling fronts guided by the environment for reaction-diffusion equations

Networks & Heterogeneous Media ◽

10.3934/nhm.2013.8.79 ◽

2013 ◽

Vol 8 (1) ◽

pp. 79-114 ◽

Cited By ~ 10

Author(s):

Henri Berestycki ◽

◽

Guillemette Chapuisat ◽

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Traveling Fronts

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Reaction–diffusion equations in space–time periodic media

Comptes Rendus Mathematique ◽

10.1016/j.crma.2007.10.004 ◽

2007 ◽

Vol 345 (9) ◽

pp. 489-493 ◽

Cited By ~ 4

Author(s):

Grégoire Nadin

Keyword(s):

Reaction Diffusion ◽

Space Time ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Periodic Media ◽

Time Periodic

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Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2019.05.001 ◽

2019 ◽

Vol 36 (7) ◽

pp. 1791-1816 ◽

Cited By ~ 1

Author(s):

Masaharu Taniguchi

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Traveling Fronts ◽

Axially Asymmetric

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A remark on stable subharmonic solutions of time-periodic reaction–diffusion equations

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(03)00538-9 ◽

2003 ◽

Vol 286 (2) ◽

pp. 795-803

Author(s):

Hiroki Yagisita ◽

Eiji Yanagida

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Subharmonic Solutions ◽

Periodic Reaction ◽

Time Periodic

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Multidimensional stability of traveling fronts in monostable reaction-diffusion equations with complex perturbations

Science China Mathematics ◽

10.1007/s11425-013-4617-x ◽

2013 ◽

Vol 57 (2) ◽

pp. 353-366 ◽

Cited By ~ 4

Author(s):

HuiHui Zeng

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Traveling Fronts

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Transition fronts of time periodic bistable reaction–diffusion equations inRN

Journal of Differential Equations ◽

10.1016/j.jde.2018.04.032 ◽

2018 ◽

Vol 265 (5) ◽

pp. 2191-2242 ◽

Cited By ~ 4

Author(s):

Wei-Jie Sheng ◽

Hong-Jun Guo

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Time Periodic ◽

Transition Fronts

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Global asymptotic stability of pushed traveling fronts for monostable delayed reaction-diffusion equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017147 ◽

2017 ◽

Vol 37 (6) ◽

pp. 3467-3486 ◽

Cited By ~ 3

Author(s):

Shi-Liang Wu ◽

◽

Tong-Chang Niu ◽

Cheng-Hsiung Hsu ◽

Keyword(s):

Asymptotic Stability ◽

Global Asymptotic Stability ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Delayed Reaction ◽

Traveling Fronts

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