Two-Point Vortex Confinement in a simply connected domain
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911304302723072 |
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| author | Ibrahim, Slim Qin, Ruixun Shen, Shengyi |
| author_facet | Ibrahim, Slim Qin, Ruixun Shen, Shengyi |
| contents | This paper investigates the vortex confinement property of the two-point vortex system in a planar domain. We compute the time over which initial point vortices around a stable stationary point remain within a slightly larger ball. In particular, we show that this concentration persists indefinitely regardless of the vorticity strengths. In the borderline of the stability condition, we show that this time becomes a power law, if in addition, one relaxes the size of the stability ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05574 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-Point Vortex Confinement in a simply connected domain Ibrahim, Slim Qin, Ruixun Shen, Shengyi Mathematical Physics Classical Analysis and ODEs This paper investigates the vortex confinement property of the two-point vortex system in a planar domain. We compute the time over which initial point vortices around a stable stationary point remain within a slightly larger ball. In particular, we show that this concentration persists indefinitely regardless of the vorticity strengths. In the borderline of the stability condition, we show that this time becomes a power law, if in addition, one relaxes the size of the stability ball. |
| title | Two-Point Vortex Confinement in a simply connected domain |
| topic | Mathematical Physics Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2512.05574 |