Artículo
Finite time singularities for water waves with surface tension
Autor/es | Castro Martínez, Ángel
Córdoba Gazolaz, Diego Fefferman, Charles L. Gancedo García, Francisco Gómez Serrano, Javier |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2012-11 |
Fecha de depósito | 2016-09-21 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | MTM2011-26696
info:eu-repo/grantAgreement/EC/FP7/203138 DMS-0901040 |
Cita | 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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