Self-similar solutions for the Muskat equation

dc.contributor.authorGarcía Juárez, Eduardo
dc.contributor.authorGómez Serrano, Javier
dc.contributor.authorNguyen, Huy Q.
dc.contributor.authorPausader, Benoît
dc.date.accessioned2025-01-17T07:22:40Z
dc.date.available2025-01-17T07:22:40Z
dc.date.issued2022-04
dc.date.updated2025-01-17T07:22:41Z
dc.description.abstractWe 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 $t>0$.
dc.format.extent30 p.
dc.format.mimetypeapplication/pdf
dc.identifier.issn0001-8708
dc.identifier.urihttps://hdl.handle.net/2445/217592
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.1016/j.aim.2022.108294
dc.relation.ispartofAdvances in Mathematics, 2022, vol. 399
dc.relation.urihttps://doi.org/10.1016/j.aim.2022.108294
dc.rightscc-by (c) Eduardo García Juárez et al., 2022
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationEquacions en derivades parcials
dc.subject.classificationMecànica de fluids
dc.subject.otherPartial differential equations
dc.subject.otherFluid mechanics
dc.titleSelf-similar solutions for the Muskat equation
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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