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Article Dans Une Revue Acta Applicandae Mathematicae Année : 2008

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

Résumé

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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Dates et versions

hal-00181464 , version 1 (23-10-2007)

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Carlos Alberto Raposo, Mauricio Sepulveda, Octavio Vera, Ducival Carvalho Pereira, Mauro Lima Santos. Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion. Acta Applicandae Mathematicae, 2008, 102 (1), pp.37-56. ⟨10.1007/s10440-008-9207-5⟩. ⟨hal-00181464⟩

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