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Updated: Sep 24, 2025

Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
On the dynamics of point vortices for the two-dimensional Euler equation with L vorticity
Stefano Ceci1, Christian Seis1
1Institut für Analysis und Numerik, Westfälische Wilhelms-Universität Münster, Germany.
Abstract:
We study the evolution of solutions to the two-dimensional Euler equations whose vorticity is sharply concentrated in the Wasserstein sense around a finite number of points. Under the assumption that the vorticity is merely [Formula: see text] integrable for some [Formula: see text], we show that the evolving vortex regions remain concentrated around points, and these points are close to solutions to the Helmholtz-Kirchhoff point vortex system. This article is part of the theme issue 'Mathematical problems in physical fluid dynamics (part 2)'.
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