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Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves

dc.creatorCastro Martínez, Ángeles
dc.creatorCórdoba Gazolaz, Diegoes
dc.creatorFefferman, Charles L.es
dc.creatorGancedo García, Franciscoes
dc.creatorLópez Fernández, Maríaes
dc.date.accessioned2016-09-23T10:07:11Z
dc.date.available2016-09-23T10:07:11Z
dc.date.issued2012
dc.identifier.citationCastro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L., Gancedo García, F. y López Fernández, M. (2012). Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Annals of Mathematics, 175, 909-948.
dc.identifier.issn0003-486Xes
dc.identifier.issn1939-8980es
dc.identifier.urihttp://hdl.handle.net/11441/45341
dc.description.abstractThe Muskat problem models the evolution of the interface between two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach linear stability of the Muskat problem. We show that the Rayleigh-Taylor condition may hold initially but break down in finite time. As a consequence of the method used, we prove the existence of water waves turning.es
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes
dc.description.sponsorshipEuropean Research Counciles
dc.description.sponsorshipNational Science Foundationes
dc.description.sponsorshipOffice of Naval Researches
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherPrinceton Universityes
dc.relation.ispartofAnnals of Mathematics, 175, 909-948.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleRayleigh-Taylor breakdown for the Muskat problem with applications to water waveses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDMTM2008-03754es
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/203138es
dc.relation.projectIDDMS-0901040es
dc.relation.projectIDONR00014-08-1-0678es
dc.relation.projectIDDMS-0901810es
dc.relation.projectIDMTM2008-03541es
dc.relation.projectIDMTM2010-19510es
dc.relation.publisherversionhttp://annals.math.princeton.edu/wp-content/uploads/annals-v175-n2-p09-s.pdfes
dc.identifier.doi10.4007/annals.2012.175.2.9es
dc.contributor.groupUniversidad de Sevilla. FQM104: Analisis Matematicoes
idus.format.extent38 p.es
dc.journaltitleAnnals of Mathematicses
dc.publication.volumen175es
dc.publication.initialPage909es
dc.publication.endPage948es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/45341

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