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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2510.14394 |
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| _version_ | 1866911214228996096 |
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| author | Wang, Fatao Wang, Guodong |
| author_facet | Wang, Fatao Wang, Guodong |
| contents | We provide a short proof of the $L^2$-orbital stability of a class of explicit steady Euler flows in a disk by establishing a quantitative estimate. The main idea is to exploit the conserved quantities of the Euler equation, including the kinetic energy, the enstrophy, and the moment of fluid impulse. Our result seems to suggest that more radial symmetry leads to stronger instability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14394 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative stability of a class of explicit steady Euler flows in a disk Wang, Fatao Wang, Guodong Analysis of PDEs We provide a short proof of the $L^2$-orbital stability of a class of explicit steady Euler flows in a disk by establishing a quantitative estimate. The main idea is to exploit the conserved quantities of the Euler equation, including the kinetic energy, the enstrophy, and the moment of fluid impulse. Our result seems to suggest that more radial symmetry leads to stronger instability. |
| title | Quantitative stability of a class of explicit steady Euler flows in a disk |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.14394 |