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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