A Schauder theory for the Stokes equations in rough domains
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914646412230656 |
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| author | Breit, Dominic |
| author_facet | Breit, Dominic |
| contents | We consider the steady Stokes equations in a bounded domain with forcing in divergence form supplemented with no-slip boundary conditions. We provide a maximal regularity theory in Campanato spaces (inlcuding $\mathrm{BMO}$ and $C^{0,α}$ for $0<α<1$ as special cases) under minimal assumptions on the regularity of the underlying domain. Our approach is based on pointwise multipliers in Campanto spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_06311 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Schauder theory for the Stokes equations in rough domains Breit, Dominic Analysis of PDEs We consider the steady Stokes equations in a bounded domain with forcing in divergence form supplemented with no-slip boundary conditions. We provide a maximal regularity theory in Campanato spaces (inlcuding $\mathrm{BMO}$ and $C^{0,α}$ for $0<α<1$ as special cases) under minimal assumptions on the regularity of the underlying domain. Our approach is based on pointwise multipliers in Campanto spaces. |
| title | A Schauder theory for the Stokes equations in rough domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2304.06311 |