Article
Splash singularity for water waves
Author/s | Castro Martínez, Ángel
Córdoba Gazolaz, Diego Fefferman, Charles L. Gancedo García, Francisco Gómez Serrano, Javier |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2012-01-17 |
Deposit Date | 2016-09-21 |
Published in |
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Abstract | We exhibit smooth initial data for the two-dimensional (2D) waterwave
equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result together with numerical ... We exhibit smooth initial data for the two-dimensional (2D) waterwave equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result together with numerical evidence that there exist solutions of the 2D water-wave equation that start from a graph, turn over, and collapse in a splash singularity (self-intersecting curve in one point) in finite time. |
Project ID. | MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138 DMS-0901040 DMS-0901810 |
Citation | Castro Martínez, Á., Córdoba Gazolaz. Diego, , Fefferman, C.L., Gancedo García, F. y Gómez Serrano, J. (2012). Splash singularity for water waves. Proceedings of the National Academy of Sciences, 109 (3), 733-738. |
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