Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
Analysis of PDEs
2011-06-14 v2
Abstract
The Muskat problem models the evolution of the interface given by two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach the linear stability of the Muskat problem. We show that the Rayleigh-Taylor condition may hold initially but break down in finite time. As a consequence of the method used, we prove the existence of water waves turning.
Keywords
Cite
@article{arxiv.1102.1902,
title = {Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves},
author = {Angel Castro and Diego Cordoba and Charles Fefferman and Francisco Gancedo and Maria Lopez-Fernandez},
journal= {arXiv preprint arXiv:1102.1902},
year = {2011}
}
Comments
38 pages, added new comments and a figure, corrected typos