Planar Traveling Waves of Mono-Stable Reaction-Diffusion Equations

Xiaohuan Wang

doi:10.4171/zaa/1602

Planar Traveling Waves of Mono-Stable Reaction-Diffusion Equations

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1602 ◽

2018 ◽

Vol 37 (1) ◽

pp. 51-72

Author(s):

Xiaohuan Wang

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

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Algebraic traveling waves for some family of reaction-diffusion equations including the Nagumo equations

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-017-0450-1 ◽

2017 ◽

Vol 24 (3) ◽

Cited By ~ 1

Author(s):

Claudia Valls

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nagumo Equations

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Singular Traveling Waves and Non-linear Reaction-Diffusion Equations

Computational Mathematics, Numerical Analysis and Applications - SEMA SIMAI Springer Series ◽

10.1007/978-3-319-49631-3_5 ◽

2017 ◽

pp. 189-194 ◽

Cited By ~ 1

Author(s):

Juan Calvo

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Non Linear

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Stability of Traveling Waves on Exponentially Long Timescales in Stochastic Reaction-Diffusion Equations

SIAM Journal on Applied Dynamical Systems ◽

10.1137/20m1323539 ◽

2020 ◽

Vol 19 (4) ◽

pp. 2469-2499

Author(s):

C. H. S. Hamster ◽

H. J. Hupkes

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Long Timescales ◽

Stochastic Reaction

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Stability of Traveling Waves for Reaction-Diffusion Equations with Multiplicative Noise

SIAM Journal on Applied Dynamical Systems ◽

10.1137/17m1159518 ◽

2019 ◽

Vol 18 (1) ◽

pp. 205-278 ◽

Cited By ~ 4

Author(s):

C. H. S. Hamster ◽

H. J. Hupkes

Keyword(s):

Traveling Waves ◽

Multiplicative Noise ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

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Erratum: Global Stability of Monostable Traveling Waves For Nonlocal Time-delayed Reaction-diffusion Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/110850633 ◽

2012 ◽

Vol 44 (1) ◽

pp. 538-540 ◽

Cited By ~ 3

Author(s):

Ming Mei ◽

Chunhua Ou ◽

Xiao-Qiang Zhao

Keyword(s):

Global Stability ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Delayed Reaction

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Monotone traveling waves for reaction-diffusion equations involving the curvature operator

Boundary Value Problems ◽

10.1186/s13661-015-0303-y ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 2

Author(s):

Maurizio Garrione ◽

Luís Sanchez

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Curvature Operator

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Spreading Speeds and Traveling Waves for Monotone Systems of Impulsive Reaction–Diffusion Equations: Application to Tree–Grass Interactions in Fire-prone Savannas

Differential Equations and Dynamical Systems ◽

10.1007/s12591-020-00552-6 ◽

2020 ◽

Author(s):

J. Banasiak ◽

Y. Dumont ◽

I. V. Yatat Djeumen

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Spreading Speeds ◽

Monotone Systems ◽

In Fire ◽

Impulsive Reaction

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Time-delayed reaction–diffusion equations with boundary effect: (I) convergence to non-critical traveling waves

Applicable Analysis ◽

10.1080/00036811.2016.1258696 ◽

2016 ◽

Vol 97 (2) ◽

pp. 230-254

Author(s):

Yicheng Jiang ◽

Kaijun Zhang

Keyword(s):

Traveling Waves ◽

Boundary Effect ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Delayed Reaction

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Traveling waves connecting equilibrium and periodic orbit for reaction–diffusion equations with time delay and nonlocal response

Journal of Differential Equations ◽

10.1016/j.jde.2007.10.001 ◽

2008 ◽

Vol 244 (5) ◽

pp. 1230-1254 ◽

Cited By ~ 13

Author(s):

Wenzhang Huang

Keyword(s):

Time Delay ◽

Periodic Orbit ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

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On the existence of traveling waves for delayed reaction–diffusion equations

Journal of Differential Equations ◽

10.1016/j.jde.2009.04.002 ◽

2009 ◽

Vol 247 (3) ◽

pp. 887-905 ◽

Cited By ~ 38

Author(s):

Haiyan Wang

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Delayed Reaction

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