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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.12043 |
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| _version_ | 1866911589005787136 |
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| author | Gustafson, Stephen Miller, Evan Tsai, Tai-Peng |
| author_facet | Gustafson, Stephen Miller, Evan Tsai, Tai-Peng |
| contents | We consider axisymmetric, swirl-free solutions of the Euler equations in three and higher dimensions, of generalized anti-parallel-vortex-tube-pair-type: the initial scalar vorticity has a sign in the half-space, is odd under reflection across the plane, is bounded and decays sufficiently rapidly at the axis and at spatial infinity. We prove lower bounds on the growth of such solutions in all dimensions, improving a lower bound proved by Choi and Jeong arXiv:2110.09079 in three dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12043 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions Gustafson, Stephen Miller, Evan Tsai, Tai-Peng Analysis of PDEs We consider axisymmetric, swirl-free solutions of the Euler equations in three and higher dimensions, of generalized anti-parallel-vortex-tube-pair-type: the initial scalar vorticity has a sign in the half-space, is odd under reflection across the plane, is bounded and decays sufficiently rapidly at the axis and at spatial infinity. We prove lower bounds on the growth of such solutions in all dimensions, improving a lower bound proved by Choi and Jeong arXiv:2110.09079 in three dimensions. |
| title | Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2303.12043 |