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arXiv · 2004.06513

Reaction-diffusion equation on thin porous media

María Anguiano
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Abstract

We consider a reaction-diffusion equation on a 3D thin porous media of thickness $\varepsilon$ which is perforated by periodically distributed cylinders of size $\varepsilon$. On the boundary of the cylinders we prescribe a dynamical boundary condition of pure-reactive type. As $\varepsilon\to 0$, 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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María Anguiano. 2020-04-12. Reaction-diffusion equation on thin porous media. https://doi.org/10.1007/s40840-021-01103-0

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