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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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https://hal.archives-ouvertes.fr/hal-02540887
Contributor : María Anguiano <>
Submitted on : Sunday, April 12, 2020 - 11:03:34 AM
Last modification on : Wednesday, April 15, 2020 - 1:10:24 AM

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  • HAL Id : hal-02540887, version 1

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María Anguiano. Reaction-diffusion equation on thin porous media. 2020. ⟨hal-02540887⟩

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