Optimal Regularity for the 2D Euler Equations in the Yudovich class
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909143764303872 |
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| author | de Nitti, Nicola Meyer, David Seis, Christian |
| author_facet | de Nitti, Nicola Meyer, David Seis, Christian |
| contents | We analyze the optimal regularity that is exactly propagated by a transport equation driven by a velocity field with BMO gradient. As an application, we study the 2D Euler equations in case the initial vorticity is bounded. The sharpness of our result for the Euler equations follows from a variation of Bahouri and Chemin's vortex patch example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13691 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal Regularity for the 2D Euler Equations in the Yudovich class de Nitti, Nicola Meyer, David Seis, Christian Analysis of PDEs 35Q35, 76B03, 76B47, 35B65 We analyze the optimal regularity that is exactly propagated by a transport equation driven by a velocity field with BMO gradient. As an application, we study the 2D Euler equations in case the initial vorticity is bounded. The sharpness of our result for the Euler equations follows from a variation of Bahouri and Chemin's vortex patch example. |
| title | Optimal Regularity for the 2D Euler Equations in the Yudovich class |
| topic | Analysis of PDEs 35Q35, 76B03, 76B47, 35B65 |
| url | https://arxiv.org/abs/2403.13691 |