Systems of p-Laplacian differential inclusions with large diffusion |
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| Authors: | Jacson Simsen,Clá udia B. Gentile |
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| Affiliation: | a Departamento de Matemática e Computação, ICE, Universidade Federal de Itajubá, Av. BPS, 1303, Pinheirinho, 37500-903, Itajubá, Minas Gerais, Brazil
b Departamento de Matemática, Universidade Federal de São Carlos, Rodovia Washington Luis, Km 235, Postal Code 13565-905, São Carlos, Brazil |
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| Abstract: | In this paper we consider coupled systems of p-Laplacian differential inclusions and we prove, under suitable conditions, that a homogenization process occurs when diffusion parameters become arbitrarily large. In fact we obtain that the attractors are continuous at infinity on L2(Ω)×L2(Ω) topology, with respect to the diffusion coefficients, and the limit set is the attractor of an ordinary differential problem. |
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| Keywords: | p-Laplacian Reaction-diffusion systems Differential inclusions Attractors |
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