Reaction-diffusion equation on thin porous media
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866915679510200320 |
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| author | Anguiano, María |
| author_facet | Anguiano, María |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_06513 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Reaction-diffusion equation on thin porous media Anguiano, María Analysis of PDEs 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. |
| title | Reaction-diffusion equation on thin porous media |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2004.06513 |