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The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces

dc.creatorCórdoba Barba, Antonioes
dc.creatorCórdoba Gazolaz, Diegoes
dc.creatorGancedo García, Franciscoes
dc.date.accessioned2016-09-21T06:39:36Z
dc.date.available2016-09-21T06:39:36Z
dc.date.issued2009-07-07
dc.identifier.citationCórdoba Barba, A., Córdoba Gazolaz, D. y Gancedo García, F. (2009). The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces. Proceedings of the National Academy of Sciences, 106 (27), 10955-10959.
dc.identifier.issn0027-8424es
dc.identifier.issn1091-6490es
dc.identifier.urihttp://hdl.handle.net/11441/45168
dc.description.abstractFor the free boundary dynamics of the two-phase Hele-Shaw and Muskat problems, and also for the irrotational incompressible Euler equation, we prove existence locally in time when the Rayleigh-Taylor condition is initially satisfied for a 2D interface. The result for water waves was first obtained by Wu in a slightly different scenario (vanishing at infinity), but our approach is different because it emphasizes the active scalar character of the system and does not require the presence of gravity.es
dc.description.sponsorshipMinisterio de Educación y Cienciaes
dc.description.sponsorshipEuropean Research Counciles
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherNational Academy of Scienceses
dc.relation.ispartofProceedings of the National Academy of Sciences, 106 (27), 10955-10959.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectEuleres
dc.subjectHele-Shaw-Muskates
dc.subjectIncompressiblees
dc.subjectWell-possednesses
dc.titleThe Rayleigh-Taylor condition for the evolution of irrotational fluid interfaceses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDMTM2005-04730es
dc.relation.projectIDMTM2008-03754es
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/203138es
dc.relation.publisherversionhttp://www.pnas.org/content/106/27/10955.full.pdfes
dc.identifier.doi10.1073/pnas.0809874106es
dc.contributor.groupUniversidad de Sevilla. FQM104: Analisis Matematicoes
idus.format.extent5 p.es
dc.journaltitleProceedings of the National Academy of Scienceses
dc.publication.volumen106es
dc.publication.issue27es
dc.publication.initialPage10955es
dc.publication.endPage10959es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/45168
dc.contributor.funderMinisterio de Educación y Ciencia (MEC). España
dc.contributor.funderEuropean Research Council (ERC)

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