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

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

scholarly journals Blow-up phenomena in reaction-diffusion systems

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

Global Existence for Quadratic Systems of Reaction-Diffusion

2007 ◽  
Vol 7 (3) ◽  
Author(s):  
Laurent Desvillettes ◽  
Klemens Fellner ◽  
Michel Pierre ◽  
Julien Vovelle
Keyword(s):  
Global Existence ◽  
Weak Solutions ◽  
A Priori ◽  
Reaction Diffusion ◽  
Quadratic Systems ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
L Log L

AbstractWe prove global existence in time of weak solutions to a class of quadratic reaction-diffusion systems for which a Lyapounov structure of L log L-entropy type holds. The approach relies on an a priori dimension-independent L

Global Existence for Reaction-Diffusion Systems Modelling Ignition

1998 ◽  
Vol 142 (3) ◽  
pp. 219-251 ◽  
Author(s):  
Miguel A. Herrero ◽  
Andrew A. Lacey ◽  
Juan J. L. Velázquez
Keyword(s):  
Global Existence ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Systems Modelling
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