Uniform boundedness and global existence of solutions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients | Zendy

Saïd Kouachi | Zendy

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Uniform boundedness and global existence of solutions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients

Author(s) -

Saïd Kouachi

Publication year - 2001

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2001.1.7

Subject(s) - mathematics , reaction–diffusion system , diffusion , balance (ability) , matrix (chemical analysis) , law , mathematical analysis , pure mathematics , thermodynamics , chemistry , political science , physics , medicine , physical medicine and rehabilitation , chromatography

The purpose of this paper is to prove uniform boundedness and so global existence of solutions for reaction-diusion systems with a full matrix of diusion coecien ts satisfying a balance law. Our techniques are based on invariant regions and Lyapunov functional methods. The nonlinearity of the reaction term which we take positive in an invariant region has been supposed to be polynomial..

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