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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.01477 |
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| _version_ | 1866915922379276288 |
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| author | Meyer, David |
| author_facet | Meyer, David |
| contents | We study the stability of multiple almost circular concentrated vortices in a fluid evolving according to the two-dimensional Euler equations. We show that, for general configurations, they must remain concentrated on time-scales much longer than previously known as long as they remain separated. We further prove a new stability estimate for the logarithmic interaction energy as part of the proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01477 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Long time confinement of multiple concentrated vortices Meyer, David Analysis of PDEs We study the stability of multiple almost circular concentrated vortices in a fluid evolving according to the two-dimensional Euler equations. We show that, for general configurations, they must remain concentrated on time-scales much longer than previously known as long as they remain separated. We further prove a new stability estimate for the logarithmic interaction energy as part of the proof. |
| title | Long time confinement of multiple concentrated vortices |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.01477 |