Optimal Gevrey regularity for supercritical quasi-geostrophic equations
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866913960940273664 |
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| author | Li, Dong |
| author_facet | Li, Dong |
| contents | We consider the two dimensional surface quasi-geostrophic equations with super-critical dissipation. For large initial data in critical Sobolev and Besov spaces, we prove optimal Gevrey regularity with the same decay exponent as the linear part. This settles several open problems in \cite{Bis14, BMS15}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_12439 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Optimal Gevrey regularity for supercritical quasi-geostrophic equations Li, Dong Analysis of PDEs Mathematical Physics We consider the two dimensional surface quasi-geostrophic equations with super-critical dissipation. For large initial data in critical Sobolev and Besov spaces, we prove optimal Gevrey regularity with the same decay exponent as the linear part. This settles several open problems in \cite{Bis14, BMS15}. |
| title | Optimal Gevrey regularity for supercritical quasi-geostrophic equations |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2106.12439 |