The global regularity of vortex patches revisited
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908096702447616 |
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| author | Verdera, Joan |
| author_facet | Verdera, Joan |
| contents | We prove persistence of the regularity of the boundary of vortex patches for a large class of transport equations in the plane. The velocity field is given by convolution of the vorticity with an odd kernel, homogeneous of degree $-1$ and of class $C^2$ off the origin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_00561 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The global regularity of vortex patches revisited Verdera, Joan Analysis of PDEs Classical Analysis and ODEs primary 35Q31, 35Q35 secondary 35Q49, 42B20 We prove persistence of the regularity of the boundary of vortex patches for a large class of transport equations in the plane. The velocity field is given by convolution of the vorticity with an odd kernel, homogeneous of degree $-1$ and of class $C^2$ off the origin. |
| title | The global regularity of vortex patches revisited |
| topic | Analysis of PDEs Classical Analysis and ODEs primary 35Q31, 35Q35 secondary 35Q49, 42B20 |
| url | https://arxiv.org/abs/2110.00561 |