Support growth of vorticity for bi-rotational Euler flows in high dimensions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917220018290688 |
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| author | Jeong, In-Jee Lim, Deokwoo |
| author_facet | Jeong, In-Jee Lim, Deokwoo |
| contents | We study incompressible Euler equations in $\mathbb{R}^d$ with $d \ge 4$ under bi-rotational symmetry without swirl, which reduces the Euler equations to a scalar vorticity advection in the first quadrant. We show that patch type initial vorticities exhibit infinite growth of the support diameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Support growth of vorticity for bi-rotational Euler flows in high dimensions Jeong, In-Jee Lim, Deokwoo Analysis of PDEs 76B47, 35Q35 We study incompressible Euler equations in $\mathbb{R}^d$ with $d \ge 4$ under bi-rotational symmetry without swirl, which reduces the Euler equations to a scalar vorticity advection in the first quadrant. We show that patch type initial vorticities exhibit infinite growth of the support diameter. |
| title | Support growth of vorticity for bi-rotational Euler flows in high dimensions |
| topic | Analysis of PDEs 76B47, 35Q35 |
| url | https://arxiv.org/abs/2510.18335 |