Article
Reaction–Diffusion Equation on Thin Porous Media
Author/s | Anguiano Moreno, María |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2021-03-02 |
Deposit Date | 2024-01-22 |
Published in |
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Abstract | We consider a reaction–diffusion equation on a 3D thin porous media of thickness
which is perforated by periodically distributed cylinders of size
. On the boundary of the cylinders, we prescribe a dynamical boundary ... We consider a reaction–diffusion equation on a 3D thin porous media of thickness which is perforated by periodically distributed cylinders of size . On the boundary of the cylinders, we prescribe a dynamical boundary condition of pure-reactive type. As , 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. |
Citation | Anguiano Moreno, M. (2021). Reaction–Diffusion Equation on Thin Porous Media. Bulletin of the Malaysian Mathematical Sciences Society, 44, 3089-3110. https://doi.org/10.1007/s40840-021-01103-0. |
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