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dc.creatorCastro Martínez, Ángeles
dc.creatorCórdoba Gazolaz, Diegoes
dc.creatorFefferman, Charles L.es
dc.creatorGancedo García, Franciscoes
dc.creatorLópez Fernández, Maríaes
dc.date.accessioned2016-09-21T06:23:20Z
dc.date.available2016-09-21T06:23:20Z
dc.date.issued2011-03-22
dc.identifier.citationCastro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L., Gancedo García, F. y López Fernández, M. (2011). Turning waves and breakdown for incompressible flows. Proceedings of the National Academy of Sciences, 108 (12), 4754-4759.
dc.identifier.issn0027-8424es
dc.identifier.issn1091-6490es
dc.identifier.urihttp://hdl.handle.net/11441/45167
dc.description.abstractWe consider the evolution of an interface generated between two immiscible, incompressible, and irrotational fluids. Specifically we study the Muskat and water wave problems. We show that starting with a family of initial data given by (α, f0(α)), the interface reaches a regime in finite time in which is no longer a graph. Therefore there exists a time ∗t where the solution of the free boundary problem parameterized as s (α, f(α, t)) blows up:: k∂αfkL∞(t∗) = ∞. In particular, for the Muskat problem, this result allows us to reach an unstable regime, for which the Rayleigh-Taylor condition changes sign and the solution breaks down.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.publisherNational Academy of Scienceses
dc.relation.ispartofProceedings of the National Academy of Sciences, 108 (12), 4754-4759.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleTurning waves and breakdown for incompressible flowses
dc.typeinfo:eu-repo/semantics/articlees
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.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://www.pnas.org/content/108/12/4754.full.pdfes
dc.identifier.doi10.1073/pnas.1101518108es
dc.contributor.groupUniversidad de Sevilla. FQM104: Analisis Matematicoes
idus.format.extent6 p.es
dc.journaltitleProceedings of the National Academy of Scienceses
dc.publication.volumen108es
dc.publication.issue12es
dc.publication.initialPage4754es
dc.publication.endPage4759es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/45167

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