2025-01-17T07:22:40Z
2025-01-17T07:22:40Z
2022-04
2025-01-17T07:22:41Z
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 $t>0$.
Article
Published version
English
Equacions en derivades parcials; Mecànica de fluids; Partial differential equations; Fluid mechanics
Elsevier B.V.
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
cc-by (c) Eduardo García Juárez et al., 2022
http://creativecommons.org/licenses/by/3.0/es/