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Pré-Publication, Document De Travail Année : 2020

On p-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media

Résumé

This paper deals with the homogenization of the p-Laplacian reaction-diffusion problems in a domain containing periodically distributed holes of size ε, with a dynamical boundary condition of pure-reactive type. We generalize our previous results (see [2]) established in the case where the diffusion is modeled by the Laplacian operator, i.e., with p = 2. We prove the convergence of the homogenization process to a nonlinear p-Laplacian reaction-diffusion equation defined on a unified domain without holes with zero Dirichlet boundary condition and with extra terms coming from the influence of the nonlinear dynamical boundary conditions.
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Dates et versions

hal-02881568 , version 1 (25-06-2020)
hal-02881568 , version 2 (20-01-2023)
hal-02881568 , version 3 (13-08-2023)

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  • HAL Id : hal-02881568 , version 1

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María Anguiano. On p-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media. 2020. ⟨hal-02881568v1⟩
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