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

dc.contributor.authorCastro, Ángel
dc.contributor.authorCórdoba, Diego
dc.contributor.authorFefferman, Charles L.
dc.contributor.authorGancedo, Francisco
dc.contributor.authorLópez-Fernández, María
dc.contributor.otherUAM. Departamento de Matemáticases_ES
dc.date.accessioned2014-10-22T14:18:27Z
dc.date.available2014-10-22T14:18:27Z
dc.date.issued2012-03-01
dc.identifier.citationAnnals of Mathematics 175.2 (2012): 909-948en_US
dc.identifier.issn0003-486X (print)es_ES
dc.identifier.issn1939-8980 (online)es_ES
dc.identifier.urihttp://hdl.handle.net/10486/662222
dc.descriptionThe following article appeared in Annals of Mathematics 175.2 (2012): 909-948 and may be found at http://annals.math.princeton.edu/2012/175-2/p09en_US
dc.description.abstractThe Muskat problem models the evolution of the interface between two diff erent 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.en_US
dc.description.sponsorshipAC, DC and FG were partially supported by the grant MTM2008-03754 of the MCINN (Spain) and the grant StG-203138CDSIF of the ERC. CF was partially supported by NSF grant DMS-0901040 and ONR grant ONR00014-08-1-0678. FG was partially supported by NSF grant DMS-0901810. MLF was partially supported by the grants MTM2008-03541 and MTM2010-19510 of the MCINN (Spain).en_US
dc.format.extent40 pag.es_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherPrinceton University, Department of Mathematicsen_US
dc.relation.ispartofAnnals of Mathematicsen_US
dc.rightsThe Authorsen_US
dc.subject.otherBreakdownes_ES
dc.subject.otherDarcy lawes_ES
dc.subject.otherIncompressible flowes_ES
dc.subject.otherInterface dynamicses_ES
dc.subject.otherRayleigh-Taylores_ES
dc.subject.otherWater waveses_ES
dc.titleRayleigh-Taylor breakdown for the Muskat problem with applications to water waveses_ES
dc.typearticlees_ES
dc.subject.ecienciaMatemáticases_ES
dc.relation.publisherversionhttp://dx.doi.org/10.4007/annals.2012.175.2.9es_ES
dc.identifier.doi10.4007/annals.2012.175.2.9es_ES
dc.identifier.publicationfirstpage909es_ES
dc.identifier.publicationissue2es_ES
dc.identifier.publicationlastpage948es_ES
dc.identifier.publicationvolume175es_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.rights.accessRightsopenAccesses_ES
dc.authorUAMGancedo García, Francisco de Asís (263633)
dc.facultadUAMFacultad de Ciencias
dc.institutoUAMInstituto de Ciencias Matemáticas (ICMAT)


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