Article
Structural stability for the splash singularities of the water waves problem
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 | 2014-12 |
Deposit Date | 2016-09-23 |
Published in |
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Abstract | In this paper we show a structural stability result for water waves. The main motivation for this result is that we would like to exhibit a water wave whose interface starts as a graph and ends in a splash. Numerical ... In this paper we show a structural stability result for water waves. The main motivation for this result is that we would like to exhibit a water wave whose interface starts as a graph and ends in a splash. Numerical simulations lead to an approximate solution with the desired behaviour. The stability result will conclude that near the approximate solution to water waves there is an exact solution. |
Project ID. | MTM2011-26696
SEV-2011-0087 info:eu-repo/grantAgreement/EC/FP7/307179 DMS-09-0104 |
Citation | Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L., Gancedo García, F. y Gómez Serrano, J. (2014). Structural stability for the splash singularities of the water waves problem. Discrete and Continuous Dynamical Systems - Series A, 34 (12), 4997-5043. |
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