Stability in L¹ of circular vortex patches

2009/09/22 by Thomas C. Sideris, Luis Vega, Sideris, Thomas C. +1 · 1 citation
Mathematics · #35Q35 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.0909.4111

openalex publication_date 2009/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The motion of incompressible and ideal fluids is studied in the plane. The stability in L¹ of circular vortex patches is established among the class of all bounded vortex patches of equal strength without any restriction on the size of the initial perturbation.

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