Formulation of finite-time singularity for free-surface Euler equations
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🧮 math.AP
keywords
equationseulerfree-surfacesingularitycastroconditioncordobacoutand
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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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