Solution and asymptotic behaviour for a nonlocal coupled system of reaction-diffusion

Raposo CA; Sepúlveda M.; Villagran, OV; Pereira, DC; Santos, ML

Abstract

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. © 2008 Springer Science+Business Media B.V.

Más información

Título según WOS: Solution and asymptotic behaviour for a nonlocal coupled system of reaction-diffusion
Título según SCOPUS: Solution and asymptotic behaviour for a nonlocal coupled system of reaction-diffusion
Título de la Revista: ACTA APPLICANDAE MATHEMATICAE
Volumen: 102
Número: 1
Editorial: Springer
Fecha de publicación: 2008
Página de inicio: 37
Página final: 56
Idioma: English
URL: http://link.springer.com/10.1007/s10440-008-9207-5
DOI:

10.1007/s10440-008-9207-5

Notas: ISI, SCOPUS