Structural stability for the splash singularities of the water waves problem
Analysis of PDEs
2014-01-27 v1
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.
Keywords
Cite
@article{arxiv.1401.6419,
title = {Structural stability for the splash singularities of the water waves problem},
author = {Angel Castro and Diego Córdoba and Charles Fefferman and Francisco Gancedo and Javier Gómez-Serrano},
journal= {arXiv preprint arXiv:1401.6419},
year = {2014}
}
Comments
50 pages, 2 figures