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arXiv · 2211.13872

Velocity blow-up in $C^1\cap H^2$ for the 2D Euler equations

Min Jun Jo·Junha Kim
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Abstract

We give a vorticity-dynamical proof of $C^1\cap H^2$-illposedness of the 2D Euler equations. Our construction shows that the unique Yudovich solution escapes both $C^1$ and $H^2$ instantaneously.

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Min Jun Jo, Junha Kim. 2022-11-25. Velocity blow-up in $C^1\cap H^2$ for the 2D Euler equations. https://arxiv.org/abs/2211.13872

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