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

Yupei Huang

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arXiv · 2312.12711

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

Yupei Huang

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Abstract

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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Yupei Huang. 2024-01-20. On the rigidity of uniformly rotating vortex patch near the Rankine vortex. https://arxiv.org/abs/2312.12711

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