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Finite time singularities for the free boundary incompressible Euler equations

Author(s): Castro, Angel; Cordoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gomez-Serrano, Javier

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Abstract: 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.
Publication Date: Nov-2013
Electronic Publication Date: 1-Nov-2013
Citation: Castro, Angel, Cordoba, Diego, Fefferman, Charles, Gancedo, Francisco, Gomez-Serrano, Javier. (2013). Finite time singularities for the free boundary incompressible Euler equations. ANNALS OF MATHEMATICS, 178 (1061 - 1134. doi:10.4007/annals.2013.178.3.6
DOI: doi:10.4007/annals.2013.178.3.6
ISSN: 0003-486X
Pages: 1061 - 1134
Type of Material: Journal Article
Journal/Proceeding Title: ANNALS OF MATHEMATICS
Version: Author's manuscript



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