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Mathematics > Analysis of PDEs

arXiv:0710.4381 (math)
[Submitted on 24 Oct 2007]

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

Authors:Carlos Alberto Raposo (DEMAT. UFSJ), Mauricio Sepulveda (GI2MA), Octavio Vera, Ducival Carvalho Pereira (DEPMAT, UFPA), Mauro Lima Santos (DEPMAT, UFPA)
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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.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:0710.4381 [math.AP]
  (or arXiv:0710.4381v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.0710.4381
Journal reference: Acta Applicandae Mathematicae 102, 1 (2008) 37-56
Related DOI: https://doi.org/10.1007/s10440-008-9207-5

Submission history

From: Mauricio Sepulveda [view email] [via CCSD proxy]
[v1] Wed, 24 Oct 2007 06:39:57 UTC (94 KB)
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