Homogenization of a micropolar fluid past a porous media with non-zero spin boundary condition
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909968706306048 |
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| author | Suárez-Grau, Francisco J. |
| author_facet | Suárez-Grau, Francisco J. |
| contents | We consider a micropolar fluid flow in a media perforated by periodically distributed obstacles of size $\varepsilon$. A non-homogeneous boundary condition for microrotation is considered: the microrotation is assumed to be proportional to the rotation rate of the velocity on the boundary of the obstacles. The existence and uniqueness of solution is analyzed. Moreover, passing to the limit when $\varepsilon$ tends to zero, an analogue of the classical micropolar Darcy law in the theory of porous media is derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogenization of a micropolar fluid past a porous media with non-zero spin boundary condition Suárez-Grau, Francisco J. Analysis of PDEs 76A05, 76M50, 76S05, 35B27, 35Q35 We consider a micropolar fluid flow in a media perforated by periodically distributed obstacles of size $\varepsilon$. A non-homogeneous boundary condition for microrotation is considered: the microrotation is assumed to be proportional to the rotation rate of the velocity on the boundary of the obstacles. The existence and uniqueness of solution is analyzed. Moreover, passing to the limit when $\varepsilon$ tends to zero, an analogue of the classical micropolar Darcy law in the theory of porous media is derived. |
| title | Homogenization of a micropolar fluid past a porous media with non-zero spin boundary condition |
| topic | Analysis of PDEs 76A05, 76M50, 76S05, 35B27, 35Q35 |
| url | https://arxiv.org/abs/2512.16353 |