The Dirichlet problem for the nonstationary Stokes system in a polygon
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909617767841792 |
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| author | Rossmann, Jürgen |
| author_facet | Rossmann, Jürgen |
| contents | The author proves the existence of strong solutions of the Dirichlet problem for the nonstationary Stokes system in polygonal domain. Here, the solutions are elements of weighted Sobolev spaces, where the weight function is a power of the distance from the corner points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01502 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Dirichlet problem for the nonstationary Stokes system in a polygon Rossmann, Jürgen Analysis of PDEs 35B45, 35B65, 35K51, 35Q35 The author proves the existence of strong solutions of the Dirichlet problem for the nonstationary Stokes system in polygonal domain. Here, the solutions are elements of weighted Sobolev spaces, where the weight function is a power of the distance from the corner points. |
| title | The Dirichlet problem for the nonstationary Stokes system in a polygon |
| topic | Analysis of PDEs 35B45, 35B65, 35K51, 35Q35 |
| url | https://arxiv.org/abs/2503.01502 |