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Published version

Publication date

2022-04

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cc-by (c) Eduardo García Juárez et al., 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/217592

Self-similar solutions for the Muskat equation

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

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 $t>0$.

Subject

Equacions en derivades parcials, Mecànica de fluids

Subject (English)

Partial differential equations, Fluid mechanics

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

GARCÍA JUÁREZ, Eduardo, et al. Self-similar solutions for the Muskat equation. Advances in Mathematics. 2022. Vol. 399. ISSN 0001-8708. [consulted: 11 of August of 2026]. Available at: https://hdl.handle.net/2445/217592

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