Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results

2020/12/16 by Javier Gómez-Serrano, Jaemin Park, Gómez-Serrano, Javier +5
Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2012.08709

openalex publication_date 2020/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

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