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

Author(s): Castro, Angel; Cordoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Lopez-Fernandez, Maria

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dc.contributor.authorCastro, Angel-
dc.contributor.authorCordoba, Diego-
dc.contributor.authorFefferman, Charles L.-
dc.contributor.authorGancedo, Francisco-
dc.contributor.authorLopez-Fernandez, Maria-
dc.date.accessioned2019-12-10T19:59:50Z-
dc.date.available2019-12-10T19:59:50Z-
dc.date.issued2012-03en_US
dc.identifier.citationCastro, Angel, Cordoba, Diego, Fefferman, Charles, Gancedo, Francisco, Lopez-Fernandez, Maria. (2012). Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. ANNALS OF MATHEMATICS, 175 (909 - 948). doi:10.4007/annals.2012.175.2.9en_US
dc.identifier.issn0003-486X-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1gf44-
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.en_US
dc.format.extent909 - 948en_US
dc.language.isoen_USen_US
dc.relation.ispartofANNALS OF MATHEMATICSen_US
dc.rightsAuthor's manuscripten_US
dc.titleRayleigh-Taylor breakdown for the Muskat problem with applications to water wavesen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.4007/annals.2012.175.2.9-
dc.date.eissued2012-03-01en_US
dc.identifier.eissn1939-8980-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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