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STRUCTURAL STABILITY FOR THE SPLASH SINGULARITIES OF THE WATER WAVES PROBLEM

Author(s): Castro, Angel; Cordoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gomez-Serrano, Javier

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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 aim 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.
Publication Date: Dec-2014
Citation: Castro, Angel, Cordoba, Diego, Fefferman, Charles, Gancedo, Francisco, Gomez-Serrano, Javier. (2014). STRUCTURAL STABILITY FOR THE SPLASH SINGULARITIES OF THE WATER WAVES PROBLEM. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS - SERIES A, 34 (4997 - 5043). doi:10.3934/dcds.2014.34.4997
DOI: doi:10.3934/dcds.2014.34.4997
ISSN: 1078-0947
EISSN: 1553-5231
Pages: 4997 - 5043
Type of Material: Journal Article
Journal/Proceeding Title: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS - SERIES A
Version: Author's manuscript



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