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

Dynamical Systems ◽

10.1080/14689360116914 ◽

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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A nonlocal reaction diffusion equation and its relation with Fujita exponent

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.07.014 ◽

2016 ◽

Vol 444 (2) ◽

pp. 1479-1489 ◽

Author(s):

Shen Bian ◽

Li Chen

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Nonlocal Reaction

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Pattern Formation from Reaction–Diffusion Equation Using Discretization Method

Lecture Notes in Mechanical Engineering - Recent Trends in Applied Mathematics ◽

10.1007/978-981-15-9817-3_11 ◽

2021 ◽

pp. 149-155

Author(s):

Atanu Maji

Keyword(s):

Pattern Formation ◽

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Discretization Method

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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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Pulses and waves for a bistable nonlocal reaction–diffusion equation

Applied Mathematics Letters ◽

10.1016/j.aml.2014.12.011 ◽

2015 ◽

Vol 44 ◽

pp. 21-25 ◽

Author(s):

V. Volpert

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Nonlocal Reaction

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Long time behavior of solutions for a scalar nonlocal reaction-diffusion equation

Archiv der Mathematik ◽

10.1007/s00013-011-0248-z ◽

2011 ◽

Vol 96 (5) ◽

pp. 483-490 ◽

Author(s):

Xiaoliu Wang ◽

Weifeng Wo

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Time Behavior ◽

Long Time Behavior ◽

Long Time ◽

Nonlocal Reaction

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Spatial and spatio-temporal pattern formation in heterogeneous reaction-diffusion systems

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(92)90271-q ◽

1992 ◽

Vol 188 (1-3) ◽

pp. 251-252

Author(s):

H. Malchow

Keyword(s):

Pattern Formation ◽

Temporal Pattern ◽

Heterogeneous Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Spatio Temporal

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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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Intermediate dynamics of internal layers for a nonlocal reaction-diffusion equation

Hiroshima Mathematical Journal ◽

10.32917/hmj/1150998275 ◽

2005 ◽

Vol 35 (2) ◽

pp. 263-308 ◽

Author(s):

Koji Okada

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Internal Layers ◽

Nonlocal Reaction

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Convergence to steady state for the solutions of a nonlocal reaction-diffusion equation

Evolution Equations and Control Theory ◽

10.3934/eect.2015.4.39 ◽

2015 ◽

Vol 4 (1) ◽

pp. 39-59 ◽

Author(s):

Samira Boussaïd ◽

Danielle Hilhorst ◽

Thanh Nam Nguyen

Keyword(s):

Steady State ◽

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Convergence To Steady State ◽

Nonlocal Reaction

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