Breakdown of smoothness for the Muskat problem
Analysis of PDEs
2015-06-03 v2 Mathematical Physics
math.MP
Fluid Dynamics
Abstract
In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down i.e. no longer belongs to .
Cite
@article{arxiv.1201.2525,
title = {Breakdown of smoothness for the Muskat problem},
author = {Angel Castro and Diego Cordoba and Charles Fefferman and Francisco Gancedo},
journal= {arXiv preprint arXiv:1201.2525},
year = {2015}
}
Comments
93 pages, 10 figures (6 added)