Finite time singularities for water waves with surface tension
Analysis of PDEs
2015-06-04 v2
Abstract
Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension does not prevent a finite time splash or splat singularity, i.e. that the curve touches itself either in a point or along an arc. To do so, the main ingredients of the proof are a transformation to desingularize the curve and a priori energy estimates.
Cite
@article{arxiv.1204.6633,
title = {Finite time singularities for water waves with surface tension},
author = {Angel Castro and Diego Córdoba and Charles Fefferman and Francisco Gancedo and Javier Gómez-Serrano},
journal= {arXiv preprint arXiv:1204.6633},
year = {2015}
}
Comments
32 pages, 2 figures