Geodesic
Equations aux dérivées partielles, Systèmes dynamiques
Hölder estimate for the 3 point-vortex problem with alpha-models
Godard-Cadillac, Ludovic1 
1 Laboratoire Jean Leray, Nantes Université, 2 Chem. de la Houssinière, 44322 Nantes, France
Comptes Rendus. Mathématique, Tome 361 (2023) no. G1, pp. 355-362

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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

Godard-Cadillac, Ludovic 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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     title = {H\"older estimate for the 3 point-vortex problem with alpha-models},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {355--362},
     publisher = {Acad\'emie des sciences, Paris},
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Godard-Cadillac, Ludovic. Hölder estimate for the 3 point-vortex problem with alpha-models. Comptes Rendus. Mathématique, Tome 361 (2023) no. G1, pp. 355-362. doi: 10.5802/crmath.414

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