Opened Access Splash singularity for water waves

Show item statistics
Export to
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.
Size: 243.2Kb
Format: PDF


DOI: 10.1073/pnas.1115948108

See editor´s version

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)