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Finite time singularities for water waves with surface tension

 

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Opened Access Finite time singularities for water waves with surface tension
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Author: Castro Martínez, Ángel
Córdoba Gazolaz, Diego
Fefferman, Charles L.
Gancedo García, Francisco
Gómez Serrano, Javier
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2012-11
Published in: Journal of Mathematical Physics, 53 (115622), 115622-1-115622-26.
Document type: Article
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. that 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.
Cite: Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L., Gancedo García, F. y Gómez Serrano, J. (2012). Finite time singularities for water waves with surface tension. Journal of Mathematical Physics, 53 (115622), 115622-1-115622-26.
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URI: http://hdl.handle.net/11441/45195

DOI: 10.1063/1.4765339

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