The magnetohydrodynamical system in bounded non smooth domains of dimension $n\ge3$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911456167985152 |
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| author | Monniaux, Sylvie |
| author_facet | Monniaux, Sylvie |
| contents | Existence of mild solutions for the magnetohydrodynamical system in C 1 domains is established in critical spaces in dimension n $\ge$3. The proof relies on recent regularity results on the Stokes operator in C 1 domains and a Leibniz-like formula for differential forms proved here in Section 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18195 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The magnetohydrodynamical system in bounded non smooth domains of dimension $n\ge3$ Monniaux, Sylvie Analysis of PDEs Existence of mild solutions for the magnetohydrodynamical system in C 1 domains is established in critical spaces in dimension n $\ge$3. The proof relies on recent regularity results on the Stokes operator in C 1 domains and a Leibniz-like formula for differential forms proved here in Section 2. |
| title | The magnetohydrodynamical system in bounded non smooth domains of dimension $n\ge3$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.18195 |