García Juárez, EduardoGómez Serrano, JavierNguyen, Huy Q.Pausader, Benoît2025-01-172025-01-172022-040001-8708https://hdl.handle.net/2445/217592We 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 $t>0$.30 p.application/pdfengcc-by (c) Eduardo García Juárez et al., 2022http://creativecommons.org/licenses/by/3.0/es/Equacions en derivades parcialsMecànica de fluidsPartial differential equationsFluid mechanicsinfo:eu-repo/semantics/article2025-01-17info:eu-repo/semantics/openAccess