Fluid-Structure Interaction with Porous Media: The Beaver-Joseph condition in the strong sense
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915105240776704 |
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| author | Binz, Tim Hieber, Matthias Roy, Arnab |
| author_facet | Binz, Tim Hieber, Matthias Roy, Arnab |
| contents | This article considers fluid structure interaction describing the motion of a fluid contained in a porous medium. The fluid is modelled by Navier-Stokes equations and the coupling between fluid and the porous medium is described by the classical Beaver-Joseph or the Beaver-Joseph-Saffman interface condition. In contrast to previous work these conditions are investigated for the first time in the strong sense and it is shown that the coupled system admits a unique, global strong solution in critical spaces provided the data are small enough. Furthermore, a Serrin-type blow-up criterium is developed and higher regularity estimates at the interface are established, which say that the solution is even analytic provided the forces are so. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09195 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fluid-Structure Interaction with Porous Media: The Beaver-Joseph condition in the strong sense Binz, Tim Hieber, Matthias Roy, Arnab Analysis of PDEs This article considers fluid structure interaction describing the motion of a fluid contained in a porous medium. The fluid is modelled by Navier-Stokes equations and the coupling between fluid and the porous medium is described by the classical Beaver-Joseph or the Beaver-Joseph-Saffman interface condition. In contrast to previous work these conditions are investigated for the first time in the strong sense and it is shown that the coupled system admits a unique, global strong solution in critical spaces provided the data are small enough. Furthermore, a Serrin-type blow-up criterium is developed and higher regularity estimates at the interface are established, which say that the solution is even analytic provided the forces are so. |
| title | Fluid-Structure Interaction with Porous Media: The Beaver-Joseph condition in the strong sense |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.09195 |