Collapse and Burst of generalized Surface Quasi-Geostrophic point Vortices
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909623227777024 |
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| author | Grotto, Francesco Pappalettera, Umberto |
| author_facet | Grotto, Francesco Pappalettera, Umberto |
| contents | We consider the generalized Surface Quasi-Geostrophic point vortices dynamics, and identify a sufficient condition implying existence of bursts out of (and collapses into) any given initial configuration of vortices. The condition is related to the stability of the linearized dynamics around three vortices evolving in a self-similar fashion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19782 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Collapse and Burst of generalized Surface Quasi-Geostrophic point Vortices Grotto, Francesco Pappalettera, Umberto Classical Analysis and ODEs We consider the generalized Surface Quasi-Geostrophic point vortices dynamics, and identify a sufficient condition implying existence of bursts out of (and collapses into) any given initial configuration of vortices. The condition is related to the stability of the linearized dynamics around three vortices evolving in a self-similar fashion. |
| title | Collapse and Burst of generalized Surface Quasi-Geostrophic point Vortices |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2505.19782 |