Mar 20 – 22, 2024
Institut de Mathématiques de Toulouse
Europe/Paris timezone

On collapses of single-signed point-vortices with the boundary

Mar 21, 2024, 4:00 PM
50m
Amphithéâtre Laurent Schwartz, bâtiment 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre Laurent Schwartz, bâtiment 1R3

Institut de Mathématiques de Toulouse

118 route de Narbonne\n31062 Toulouse Cedex

Speaker

Dragos Iftimie (Institut Camille Jordan - Université Lyon 1)

Description

We consider the point-vortex system in a domain and assume the masses to be single-signed. We investigate the possibility of collapse with the boundary. We prove that such collapses are not possible in the case of the disk and of the half-plane. For general domains, we give a necessary condition for a collapse with the boundary to occur. This is joint work with M. Donati and L. Godard-Cadillac.

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