Regularity of solutions to the Muskat equation
Analysis of PDEs
2023-04-26 v1
Abstract
In this paper, we show that if a solution to the Muskat problem in the case of different densities and the same viscosity is sufficiently smooth, then it must be analytic except at the points where a turnover of the fluids happens.
Cite
@article{arxiv.2211.11006,
title = {Regularity of solutions to the Muskat equation},
author = {Jia Shi},
journal= {arXiv preprint arXiv:2211.11006},
year = {2023}
}