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.
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Partially supported by CMM, Universidad de Chile, and CI2MA, Universidad de Concepción.
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Raposo, C.A., Sepúlveda, M., Villagrán, O.V. et al. Solution and Asymptotic Behaviour for a Nonlocal Coupled System of Reaction-Diffusion. Acta Appl Math 102, 37–56 (2008). https://doi.org/10.1007/s10440-008-9207-5
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DOI: https://doi.org/10.1007/s10440-008-9207-5