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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.|
|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|
|Pages:||4997 - 5043|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS - SERIES A|
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