Singular vortex configurations and coadjoint orbits - Cornelia Vizman

Workshop on Geometry and Analysis of Fluid Flows with a Special Tribute to David Ebin
January 2023

Cornelia Vizman, West University of Timisoara

Abstract: We describe classes of coadjoint orbits of the area preserving diffeomorphism group of R2 that accommodate singular vorticities for ideal 2D
uids. Among them are vortex loops, pointed vortex loops, and vortex loops with dipoles. Some coadjoint orbits arise via symplectic reduction in dual pairs: the Marsden-Weinstein ideal
uid dual pair and a new variant of the Holm-Marsden EPDiff dual pair.