Finite time singularities for the free boundary incompressible Euler equations

Details Finite time singularities for the free boundary incompressible Euler equations Finite time singularities for the free boundary incompressible Euler equations

2011-12-09

arxiv.org/abs/1112.2170v2

Mathematics

Analysis of PDEs

69 pages, 9 figures. Revised version. arXiv admin note: text overlap with arXiv:1106.2120

Scientific paper

In this paper, we prove the existence of smooth initial data for the 2D free
boundary incompressible Euler equations (also known for some particular
scenarios as the water wave problem), for which the smoothness of the interface
breaks down in finite time into a splash singularity or a splat singularity.

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