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Journal Articles Bulletin of the Malaysian Mathematical Sciences Society Year : 2021

Reaction-diffusion equation on thin porous media

Abstract

We consider a reaction-diffusion equation on a 3D thin porous media of thickness ε which is perforated by periodically distributed cylinders of size ε. On the boundary of the cylinders we prescribe a dynamical boundary condition of pure-reactive type. As ε → 0, in the 2D limit the resulting reaction-diffusion equation has a source term coming from the dynamical-type boundary conditions imposed on boundaries of the original 3D domain.
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Dates and versions

hal-02540887 , version 1 (12-04-2020)

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  • HAL Id : hal-02540887 , version 1

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María Anguiano. Reaction-diffusion equation on thin porous media. Bulletin of the Malaysian Mathematical Sciences Society, 2021. ⟨hal-02540887⟩

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