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

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Raposo, Carlos Alberto
Sepulveda, Mauricio
Vera, Octavio
Pereira, Ducival Carvalho
Santos, Mauro Lima
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Abstract
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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.
Keywords
Mathematics - Analysis of PDEs
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