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Self-similar solutions for the Muskat equation García Juárez, Eduardo Gómez Serrano, Javier Nguyen, Huy Q. Pausader, Benoît Equacions en derivades parcials Mecànica de fluids Partial differential equations Fluid mechanics 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 $t>0$. 2025-01-17T07:22:40Z 2025-01-17T07:22:40Z 2022-04 2025-01-17T07:22:41Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 0001-8708 https://hdl.handle.net/2445/217592 eng 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/ info:eu-repo/semantics/openAccess 30 p. application/pdf Elsevier B.V. Articles publicats en revistes (Matemàtiques i Informàtica)