Splash singularities for the free boundary Navier-Stokes equations
Analysis of PDEs
2019-05-14 v2
Abstract
In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down in finite time into a splash singularity.
Keywords
Cite
@article{arxiv.1504.02775,
title = {Splash singularities for the free boundary Navier-Stokes equations},
author = {Angel Castro and Diego Córdoba and Charles Fefferman and Francisco Gancedo and Javier Gómez-Serrano},
journal= {arXiv preprint arXiv:1504.02775},
year = {2019}
}
Comments
82 pages, 9 figures