Comptes Rendus
Equations aux dérivées partielles, Systèmes dynamiques
Hölder estimate for the 3 point-vortex problem with alpha-models
Ludovic Godard-Cadillac1 
1 Laboratoire Jean Leray, Nantes Université, 2 Chem. de la Houssinière, 44322 Nantes, France
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 355-362.

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.

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DOI : 10.5802/crmath.414
Ludovic Godard-Cadillac 1

1 Laboratoire Jean Leray, Nantes Université, 2 Chem. de la Houssinière, 44322 Nantes, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Ludovic Godard-Cadillac. Hölder estimate for the 3 point-vortex problem with alpha-models. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 355-362. doi : 10.5802/crmath.414. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.414/

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