Opened Access Splash singularity for water waves
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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: 2012-01-17
Published in: Proceedings of the National Academy of Sciences, 109 (3), 733-738.
Document type: Article
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 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.
Cite: 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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URI: http://hdl.handle.net/11441/45166

DOI: 10.1073/pnas.1115948108

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