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On the rigidity of uniformly rotating vortex patch near the Rankine vortex

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arxiv 2312.12711 v3 pith:X5BGK2DS submitted 2023-12-20 math.AP

Yupei Huang This is my paper · ORCID
classification math.AP
keywords vortexpatchrankinerotatinguniformlycertaincloseeither
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In this paper, we study the uniformly rotating vortex patch solutions for the 2D incompressible Euler equations. Specifically, we prove that if the patch solution is close to the Rankine vortex in a certain weak topology, it is either the Kirchhoff ellipses or the Rankine vortex.

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Cited by 1 Pith paper

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  1. Existence of analytic non-convex V-states

    math.AP 2024-11 conditional novelty 8.0 of 10

    A rigorous computer-assisted proof establishes the existence of non-convex analytic uniformly rotating vortex patches with 6-fold symmetry for the 2D Euler equation.

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