Finite time singularities for the free boundary incompressible Euler equations
Analysis of PDEs
2012-10-02 v3 Mathematical Physics
math.MP
Fluid Dynamics
Abstract
In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Euler equations (also known for some particular scenarios as the water wave problem), for which the smoothness of the interface breaks down in finite time into a splash singularity or a splat singularity.
Cite
@article{arxiv.1112.2170,
title = {Finite time singularities for the free boundary incompressible Euler equations},
author = {Angel Castro and Diego Córdoba and Charles Fefferman and Francisco Gancedo and Javier Gómez-Serrano},
journal= {arXiv preprint arXiv:1112.2170},
year = {2012}
}
Comments
70 pages, 9 figures. Minor revisions