Formulation of finite-time singularity for free-surface Euler equations

Yi Zhou

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arXiv · 1211.4299

Formulation of finite-time singularity for free-surface Euler equations

Yi Zhou

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Abstract

We give an extremely short proof that the free-surface incompressible, irrotational Euler equations with regular initial condition can form a finite time singularity in 2D or 3D. Thus, we provide a simple view of the problem studied by Castro, Cordoba, Fefferman, Gancedo, Lopez-Fernadez, Gomez-Serrano and Coutand, Shkoller.

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Yi Zhou. 2012-12-21. Formulation of finite-time singularity for free-surface Euler equations. https://arxiv.org/abs/1211.4299

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