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Finite time singularities for water waves with surface tension

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

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Abstract: Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension does not prevent a finite time splash or splat singularity, i.e., the curve touches itself either in a point or along an arc. To do so, the main ingredients of the proof are a transformation to desingularize the curve and a priori energy estimates. (C) 2012 American Institute of Physics. []
Publication Date: Nov-2012
Electronic Publication Date: 26-Nov-2012
Citation: Castro, Angel, Cordoba, Diego, Fefferman, Charles, Gancedo, Francisco, Gomez-Serrano, Javier. (2012). Finite time singularities for water waves with surface tension. JOURNAL OF MATHEMATICAL PHYSICS, 53, doi:10.1063/1.4765339
DOI: doi:10.1063/1.4765339
ISSN: 0022-2488
Type of Material: Journal Article
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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