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Updated: Sep 24, 2025

Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
Remarks on stationary and uniformly rotating vortex sheets: flexibility results
Javier Gómez-Serrano1,2,3, Jaemin Park2, Jia Shi4
1Department of Mathematics, Brown University, Kassar House, 151 Thayer Street, Providence, RI 02912, USA.
Abstract:
In this paper, we construct new, uniformly rotating solutions of the vortex sheet equation bifurcating from circles with constant vorticity amplitude. The proof is accomplished via a Lyapunov-Schmidt reduction and a second-order expansion of the reduced system. This article is part of the theme issue 'Mathematical problems in physical fluid dynamics (part 2)'.
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