Blow-up rates for semi-linear reaction–diffusion systems

Journal of Differential Equations ◽

10.1016/j.jde.2014.04.019 ◽

2014 ◽

Vol 257 (3) ◽

pp. 843-867 ◽

Author(s):

Henghui Zou

Keyword(s):

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Linear Reaction

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A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109490 ◽

2020 ◽

Vol 415 ◽

pp. 109490 ◽

Author(s):

E.O. Asante-Asamani ◽

A. Kleefeld ◽

B.A. Wade

Keyword(s):

Reaction Diffusion ◽

Second Order ◽

Exponential Time ◽

Reaction Diffusion Systems ◽

Exponential Time Differencing ◽

Diffusion Systems ◽

Dimensional Splitting ◽

Linear Reaction ◽

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Blow-up phenomena in reaction-diffusion systems

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2012.32.4001 ◽

2012 ◽

Vol 32 (11) ◽

pp. 4001-4014 ◽

Author(s):

Monica Marras ◽

Stella Vernier Piro

Keyword(s):

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Blow-Up at Space Infinity for Solutions of Cooperative Reaction-Diffusion Systems

Funkcialaj Ekvacioj ◽

10.1619/fesi.54.315 ◽

2011 ◽

Vol 54 (2) ◽

pp. 315-334 ◽

Author(s):

Masahiko Shimojo ◽

Noriaki Umeda

Keyword(s):

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Global existence and blow up of solutions for two classes of reaction diffusion systems with two nonlinear source terms in bounded domain

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-016-3136-2 ◽

2016 ◽

Vol 31 (4) ◽

pp. 389-408

Author(s):

Run-zhang Xu ◽

Xing-chang Wang ◽

Shao-hua Chen ◽

Yu Liu ◽

Yan-bing Yang

Keyword(s):

Global Existence ◽

Bounded Domain ◽

Blow Up ◽

Reaction Diffusion ◽

Source Terms ◽

Nonlinear Source ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Liouville theorems and blow up behaviour in semilinear reaction diffusion systems

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(97)80148-5 ◽

1997 ◽

Vol 14 (1) ◽

pp. 1-53 ◽

Author(s):

D. Andreucci ◽

M.A. Herrero ◽

J.J.L. Velázquez

Keyword(s):

Blow Up ◽

Reaction Diffusion ◽

Liouville Theorems ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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An Integral Solution for Linear Reaction-Diffusion Systems

Evolution ◽

10.1111/j.0014-3820.2004.tb01664.x ◽

2004 ◽

Vol 58 (3) ◽

pp. 1-4

Keyword(s):

Reaction Diffusion ◽

Integral Solution ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Linear Reaction

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Pointwise bounds for linear reaction-diffusion systems and an extension to nonlinear problems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(88)90144-8 ◽

1988 ◽

Vol 135 (1) ◽

pp. 88-111 ◽

Author(s):

Michael Plum

Keyword(s):

Reaction Diffusion ◽

Nonlinear Problems ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Linear Reaction

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On the Blow-up of Solutions to Some Semilinear and Quasilinear Reaction-Diffusion Systems

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181072348 ◽

1994 ◽

Vol 24 (4) ◽

pp. 1447-1465 ◽

Author(s):

S.L. Hollis ◽

J.J. Morgan

Keyword(s):

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Non-linear reaction–diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.10.034 ◽

2005 ◽

Vol 308 (1) ◽

pp. 11-35 ◽

Author(s):

Roman Cherniha ◽

John R. King

Keyword(s):

Exact Solutions ◽

Reaction Diffusion ◽

Lie Symmetries ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Linear Reaction ◽

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Blow-up problem of quasilinear weakly coupled reaction-diffusion systems with Neumann boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125283 ◽

2021 ◽

Vol 502 (2) ◽

pp. 125283

Author(s):

Juntang Ding

Keyword(s):

Boundary Conditions ◽

Blow Up ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Neumann Boundary Conditions ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Weakly Coupled ◽

Coupled Reaction

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