Global solution of reaction diusion system with full matrix | Zendy

Mebarki Maroua | Zendy; Moumeni Abdelkader | Zendy

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Global solution of reaction diusion system with full matrix

Author(s) -

Mebarki Maroua,

Moumeni Abdelkader

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 .

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