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Article Dans Une Revue Mediterranean Journal of Mathematics Année : 2023

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

Résumé

We study the effect of the p-Laplacian operator in the modelling of the heat equation through a porous medium. The case of p = 2 was recently published in (Anguiano, Mediterr. J. Math. 17, 18 (2020)). Using rigorous functional analysis techniques and the properties of Sobolev spaces, we managed to solve additional (nontrivial) difficulties which arise compared to the study for p = 2, and we prove a convergence theorem in appropriate functional spaces.
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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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Citer

María Anguiano. On p-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media. Mediterranean Journal of Mathematics, 2023, 20 (3), pp.124. ⟨10.1007/s00009-023-02333-1⟩. ⟨hal-02881568v3⟩

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