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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-01-01
|
| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.414/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1778-3569 |