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arXiv · 2207.12640

Regular and Singular Steady States of 2D incompressible Euler equations near the Bahouri-Chemin Patch

Tarek M. Elgindi·Yupei Huang
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Abstract

We consider steady states of the two-dimensional incompressible Euler equations in $\mathbb{T}^2$ and construct smooth and singular steady states around a particular singular steady state. More precisely, we construct families of smooth and singular steady solutions that converge to the Bahouri-Chemin patch.

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Tarek M. Elgindi, Yupei Huang. 2022-07-26. Regular and Singular Steady States of 2D incompressible Euler equations near the Bahouri-Chemin Patch. https://arxiv.org/abs/2207.12640

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