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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.12108 |
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| _version_ | 1866913357140852736 |
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| author | Wiedemann, David |
| author_facet | Wiedemann, David |
| contents | We consider the homogenisation of a diffusion equation in a porous medium. The microstructure is time-dependent and oscillating on a small time scale. This oscillation causes a novel advection in the homogenised equations. Allowing for a locally varying geometry, the oscillating microstructure demonstrates the ability to generate arbitrary and locally varying advection velocity fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12108 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An effective advection induced by oscillating microstructure in a diffusion equation Wiedemann, David Analysis of PDEs 35B27, 80M40, 35R37 We consider the homogenisation of a diffusion equation in a porous medium. The microstructure is time-dependent and oscillating on a small time scale. This oscillation causes a novel advection in the homogenised equations. Allowing for a locally varying geometry, the oscillating microstructure demonstrates the ability to generate arbitrary and locally varying advection velocity fields. |
| title | An effective advection induced by oscillating microstructure in a diffusion equation |
| topic | Analysis of PDEs 35B27, 80M40, 35R37 |
| url | https://arxiv.org/abs/2405.12108 |