Invariant regions and existence of global solutions to a generalized m-component reaction-diffusion system with tridiagonal symmetric Toeplitz diffusion matrix

2021 ◽  
Vol 12 (1) ◽  
pp. 1-15
Author(s):  
Karima Abdelmalek ◽  
Belgacem Rebiai ◽  
Salem Abdelmalek
Keyword(s):  
Global Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Diffusion Matrix ◽  
Invariant Regions

scholarly journals Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients

2005 ◽  
Vol 2005 (1) ◽  
pp. 23-36 ◽  
Author(s):  
L. W. Somathilake ◽  
J. M. J. J. Peiris
Keyword(s):  
Semigroup Theory ◽  
Global Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Reaction Diffusion Equations ◽  
Diffusion System ◽  
Strongly Coupled ◽  
Diffusion Rates ◽  
Coupled Reaction ◽  
Growth Of Solutions

We deal with a mathematical model for a four-component chemical reaction-diffusion process. The model is described by a system of strongly coupled reaction-diffusion equations with different diffusion rates. The existence of the global solution of this reaction-diffusion system in unbounded domain is proved by using semigroup theory and estimates on the growth of solutions.

scholarly journals Global Solutions for an -Component System of Activator-Inhibitor Type

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
S. Abdelmalek ◽  
A. Gouadria ◽  
A. Youkana
Keyword(s):  
Lyapunov Functional ◽  
Global Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Component System ◽  
Inhibitor Type ◽  
The One ◽  
Activator Inhibitor Type ◽  
Activator Inhibitor

This paper deals with a reaction-diffusion system with fractional reactions modeling -substances into interaction following activator-inhibitor's scheme. The existence of global solutions is obtained via a judicious Lyapunov functional that generalizes the one introduced by Masuda and Takahashi.

scholarly journals Global solution of reaction diffusion system with non diagonal matrix

2012 ◽  
Vol 45 (1) ◽  
Author(s):  
Abdelkader Moumeni ◽  
Lylia Salah Derradji
Keyword(s):  
Global Existence ◽  
Wide Class ◽  
Lyapunov Functional ◽  
Global Solutions ◽  
Reaction Diffusion ◽  
Functional Method ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Lyapunov Functional Method ◽  
Coupled Reaction

AbstractThe purpose of this paper is to prove the global existence in time of solutions for the coupled reaction-diffusion system:By combining the Lyapunov functional method with the regularizing effect, we show that global solutions exist. Our investigation applied for a wide class of the nonlinear terms

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