Self-similar solutions for the Muskat equation

Publication date

2025-01-17T07:22:40Z

2025-01-17T07:22:40Z

2022-04

2025-01-17T07:22:41Z

Abstract

We show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by $0<|s| \ll 1$; they are exact corners of slope $s$ at $t=0$ and become smooth in $x$ for $t>0$.

Document Type

Article


Published version

Language

English

Publisher

Elsevier B.V.

Related items

Reproducció del document publicat a: https://doi.org/10.1016/j.aim.2022.108294

Advances in Mathematics, 2022, vol. 399

https://doi.org/10.1016/j.aim.2022.108294

Recommended citation

This citation was generated automatically.

Rights

cc-by (c) Eduardo García Juárez et al., 2022

http://creativecommons.org/licenses/by/3.0/es/

This item appears in the following Collection(s)