Self-similar solutions for the Muskat equation
Analysis of PDEs
2021-09-07 v1
Abstract
We show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by ; they are exact corners of slope at and become smooth in for .
Cite
@article{arxiv.2109.02565,
title = {Self-similar solutions for the Muskat equation},
author = {Eduardo García-Juárez and Javier Gómez-Serrano and Huy Q. Nguyen and Benoît Pausader},
journal= {arXiv preprint arXiv:2109.02565},
year = {2021}
}
Comments
20 pages, 3 figures