Hölder estimate for the 3 point-vortex problem with alpha-models
In this article we study quasi-geostrophic point-vortex systems in a general setting called alpha point-vortex. We study a particular case of vortex collapses called mono-scale collapses and this study gives the Hölder regularity for the $3$-vortex problem. This result implies in particular that the...
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| Language: | English |
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Académie des sciences
2023-01-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.414/ |
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| author | Godard-Cadillac, Ludovic |
| author_facet | Godard-Cadillac, Ludovic |
| author_sort | Godard-Cadillac, Ludovic |
| collection | DOAJ |
| description | In this article we study quasi-geostrophic point-vortex systems in a general setting called alpha point-vortex. We study a particular case of vortex collapses called mono-scale collapses and this study gives the Hölder regularity for the $3$-vortex problem. This result implies in particular that the trajectories of the vortices are convergent even in the case of a collapse. |
| format | Article |
| id | doaj-art-543065ae838a45f2929ea56738ee3a59 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-543065ae838a45f2929ea56738ee3a592025-02-07T11:06:07ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-01-01361G135536210.5802/crmath.41410.5802/crmath.414Hölder estimate for the 3 point-vortex problem with alpha-modelsGodard-Cadillac, Ludovic0Laboratoire Jean Leray, Nantes Université, 2 Chem. de la Houssinière, 44322 Nantes, FranceIn this article we study quasi-geostrophic point-vortex systems in a general setting called alpha point-vortex. We study a particular case of vortex collapses called mono-scale collapses and this study gives the Hölder regularity for the $3$-vortex problem. This result implies in particular that the trajectories of the vortices are convergent even in the case of a collapse.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.414/ |
| spellingShingle | Godard-Cadillac, Ludovic Hölder estimate for the 3 point-vortex problem with alpha-models Comptes Rendus. Mathématique |
| title | Hölder estimate for the 3 point-vortex problem with alpha-models |
| title_full | Hölder estimate for the 3 point-vortex problem with alpha-models |
| title_fullStr | Hölder estimate for the 3 point-vortex problem with alpha-models |
| title_full_unstemmed | Hölder estimate for the 3 point-vortex problem with alpha-models |
| title_short | Hölder estimate for the 3 point-vortex problem with alpha-models |
| title_sort | holder estimate for the 3 point vortex problem with alpha models |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.414/ |
| work_keys_str_mv | AT godardcadillacludovic holderestimateforthe3pointvortexproblemwithalphamodels |