Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion
Analysis of PDEs
2023-01-20 v1
Abstract
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.
Cite
@article{arxiv.0710.4381,
title = {Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion},
author = {Carlos Alberto Raposo and Mauricio Sepulveda and Octavio Vera and Ducival Carvalho Pereira and Mauro Lima Santos},
journal= {arXiv preprint arXiv:0710.4381},
year = {2023}
}