Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays

Journal of Differential Equations ◽

10.1016/j.jde.2015.08.049 ◽

2016 ◽

Vol 260 (1) ◽

pp. 268-303 ◽

Author(s):

Zhaoquan Xu ◽

Dongmei Xiao

Keyword(s):

Diffusion Equation ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Spreading Speeds ◽

Spatio Temporal

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On uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delay

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.033 ◽

2021 ◽

Vol 291 ◽

pp. 195-219

Author(s):

Zhaoquan Xu ◽

Dongmei Xiao

Keyword(s):

Diffusion Equation ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Temporal Delay ◽

Spatio Temporal

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Traveling Waves for a Bistable Reaction-Diffusion Equation with Delay

SIAM Journal on Mathematical Analysis ◽

10.1137/17m1115587 ◽

2018 ◽

Vol 50 (1) ◽

pp. 1175-1199 ◽

Author(s):

Sergei Trofimchuk ◽

Vitaly Volpert

Keyword(s):

Diffusion Equation ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Equation With Delay

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Spatio-temporal dynamics of a reaction–diffusion equation with the nonlocal spatial average and delay

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106388 ◽

2020 ◽

Vol 107 ◽

pp. 106388

Author(s):

Yongli Song ◽

Gaoxiang Yang

Keyword(s):

Diffusion Equation ◽

Temporal Dynamics ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Spatial Average ◽

Spatio Temporal

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On the analysis of traveling waves to a nonlinear flux limited reaction–diffusion equation

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2012.07.001 ◽

2013 ◽

Vol 30 (1) ◽

pp. 141-155 ◽

Author(s):

Juan Campos ◽

Pilar Guerrero ◽

Óscar Sánchez ◽

Juan Soler

Keyword(s):

Diffusion Equation ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.96.001 ◽

2020 ◽

Vol 96 (1) ◽

pp. 1-6 ◽

Author(s):

Yu Ichida ◽

Takashi Okuda Sakamoto

Keyword(s):

Diffusion Equation ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Exponential stability of travelling waves for a general reaction-diffusion equation with spatio-temporal delays

ScienceAsia ◽

10.2306/scienceasia1513-1874.2018.44.421 ◽

2018 ◽

Vol 44 (6) ◽

pp. 421

Author(s):

Rui Yan ◽

Guirong Liu

Keyword(s):

Diffusion Equation ◽

Exponential Stability ◽

Travelling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

General Reaction ◽

Spatio Temporal

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Existence and Stability of Traveling Waves for Degenerate Reaction–Diffusion Equation with Time Delay

Journal of Nonlinear Science ◽

10.1007/s00332-017-9439-5 ◽

2018 ◽

Vol 28 (3) ◽

pp. 1011-1042 ◽

Author(s):

Rui Huang ◽

Chunhua Jin ◽

Ming Mei ◽

Jingxue Yin

Keyword(s):

Diffusion Equation ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Existence And Stability

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Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation

Dynamical Systems ◽

10.1080/02681110110038738 ◽

2001 ◽

Vol 16 (2) ◽

pp. 173-192 ◽

Author(s):

S. A. Gourley ◽

M. A. J. Chaplain ◽

F. A. Davidson

Keyword(s):

Pattern Formation ◽

Diffusion Equation ◽

Temporal Pattern ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Spatio Temporal ◽

Nonlocal Reaction

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Traveling waves for a boundary reaction–diffusion equation

Advances in Mathematics ◽

10.1016/j.aim.2012.01.020 ◽

2012 ◽

Vol 230 (2) ◽

pp. 433-457 ◽

Author(s):

L. Caffarelli ◽

A. Mellet ◽

Y. Sire

Keyword(s):

Diffusion Equation ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Boundary Reaction

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On the minimal speed of traveling waves for a nonlocal delayed reaction–diffusion equation

Nonlinear Oscillations ◽

10.1007/s11072-010-0096-y ◽

2010 ◽

Vol 13 (1) ◽

pp. 1-9 ◽

Author(s):

M. Aguerrea ◽

G. Valenzuela

Keyword(s):

Diffusion Equation ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Delayed Reaction ◽

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