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

2008; Springer Science+Business Media; Volume: 102; Issue: 1 Linguagem: Inglês

10.1007/s10440-008-9207-5

ISSN

1572-9036

Autores

C. A. Raposo, Maurício Sepúlveda, Octavio Vera Villagrán, Ducival Carvallo Pereira, Mauro Lima Santos,

Tópico(s)

Differential Equations and Numerical Methods

Resumo

This paper concerns with existence, uniqueness and asymptotic behavior 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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