Long-time Confinement near Special Vortex Crystals
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866918179869032448 |
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| author | Donati, Martin |
| author_facet | Donati, Martin |
| contents | In this paper, we control the growth of the support of particular solutions to the Euler two-dimensional equations, whose vorticity is concentrated near special vortex crystals. These vortex crystals belong to the classical family of regular polygons with a central vortex, where we choose a particular intensity for the central vortex to have strong stability properties. A special case is the regular pentagon with no central vortex which also satisfies the stability properties required for the long-time confinement to work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14221 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Long-time Confinement near Special Vortex Crystals Donati, Martin Analysis of PDEs In this paper, we control the growth of the support of particular solutions to the Euler two-dimensional equations, whose vorticity is concentrated near special vortex crystals. These vortex crystals belong to the classical family of regular polygons with a central vortex, where we choose a particular intensity for the central vortex to have strong stability properties. A special case is the regular pentagon with no central vortex which also satisfies the stability properties required for the long-time confinement to work. |
| title | Long-time Confinement near Special Vortex Crystals |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.14221 |