Multidimensional stability of V-shaped traveling fronts in bistable reaction-diffusion equations with nonlinear convection

Hui-Ling Niu;

doi:10.3934/math.2021020

Multidimensional stability of V-shaped traveling fronts in bistable reaction-diffusion equations with nonlinear convection

AIMS Mathematics ◽

10.3934/math.2021020 ◽

2021 ◽

Vol 6 (1) ◽

pp. 314-332

Author(s):

Hui-Ling Niu ◽

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Convection ◽

Traveling Fronts

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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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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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Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations

Boundary Value Problems ◽

10.1186/s13661-016-0744-y ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 1

Author(s):

Tianfu Ma ◽

Baoqiang Yan

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Nonlocal Boundary ◽

Global Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Convection ◽

Nonlocal Boundary Value Problems

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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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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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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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Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020126 ◽

2020 ◽

Vol 40 (6) ◽

pp. 3981-3995 ◽

Cited By ~ 1

Author(s):

Masaharu Taniguchi ◽

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Traveling Fronts

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A new linearized compact multisplitting scheme for the nonlinear convection–reaction–diffusion equations with delay

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2013.05.018 ◽

2013 ◽

Vol 18 (12) ◽

pp. 3278-3288 ◽

Cited By ~ 30

Author(s):

Qifeng Zhang ◽

Chengjian Zhang

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Convection ◽

Equations With Delay

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Multi-dimensional traveling fronts in bistable reaction-diffusion equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2012.32.1011 ◽

2012 ◽

Vol 32 (3) ◽

pp. 1011-1046 ◽

Cited By ~ 30

Author(s):

Masaharu Taniguchi ◽

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Traveling Fronts

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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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