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arXiv · 1401.6419

Structural stability for the splash singularities of the water waves problem

Angel Castro·Diego Córdoba·Charles Fefferman·Francisco Gancedo·Javier Gómez-Serrano
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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 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.

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Angel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo, Javier Gómez-Serrano. 2014-01-24. Structural stability for the splash singularities of the water waves problem. https://arxiv.org/abs/1401.6419

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