Solution and Asymptotic Behaviour for a Nonlocal Coupled System of Reaction-Diffusion

被引：0
|
作者：
Carlos Alberto Raposo
Mauricio Sepúlveda
Octavio Vera Villagrán
Ducival Carvallo Pereira
Mauro Lima Santos
机构：
[1] UFSJ,CI²MA and Departamento de Ingeniería Matemática
[2] Universidad de Concepción,Departamento de Matemática
[3] Universidad del Bío-Bío,undefined
[4] UFPA,undefined
来源：
Acta Applicandae Mathematicae | 2008年 / 102卷
关键词：
Coupled system of reaction-diffusion; The Faedo-Galerkin method; Asymptotic behaviour; Numerical methods; 35K57; 35B35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper concerns with the existence, uniqueness and asymptotic behaviour of the solutions for a nonlocal coupled system of reaction-diffusion. We prove the existence and uniqueness of weak solutions by the Faedo-Galerkin method and exponential decay of solutions by the classic energy method. We improve the results obtained by Chipot-Lovato and Menezes for coupled systems. A numerical scheme is presented.
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页码：37 / 56
页数：19
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