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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. [http://dx.doi.org/10.1063/1.4765339]|
|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|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||JOURNAL OF MATHEMATICAL PHYSICS|
|Version:||Final published version. Article is made available in OAR by the publisher's permission or policy.|
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