Open AccessGlobal solution of reaction diusion system with full matrix
Author(s) -
Mebarki Maroua,
Abdelkader Mami
Publication year - 2015
Publication title -
global journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2307-9002
DOI - 10.14419/gjma.v3i3.4683
Subject(s) - mathematics , matrix (chemical analysis) , reaction–diffusion system , diffusion , class (philosophy) , mathematical analysis , chemistry , physics , computer science , thermodynamics , chromatography , artificial intelligence
The purpose of this paper is to prove the global existence in time of solutions for the strongly coupled reaction-diffusion system:with full matrix of diffusion coefficients. Our techniques of proof are based on Lyapunov functional methods and some \(L^{p}\) estimates. we show that global solutions exist. Our investigation applied for a wide class of the nonlinear terms f and g .