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

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dc.contributor.author Castro, Ángel
dc.contributor.author Córdoba, Diego
dc.contributor.author Fefferman, Charles L.
dc.contributor.author Gancedo, Francisco
dc.contributor.author López-Fernández, María
dc.contributor.other UAM. Departamento de Matemáticas es_ES
dc.date.accessioned 2014-10-22T14:18:27Z
dc.date.available 2014-10-22T14:18:27Z
dc.date.issued 2012-03-01
dc.identifier.citation Annals of Mathematics 175.2 (2012): 909-948 en_US
dc.identifier.issn 0003-486X (print) es_ES
dc.identifier.issn 1939-8980 (online) es_ES
dc.identifier.uri http://hdl.handle.net/10486/662222
dc.description The 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/p09 en_US
dc.description.abstract The 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.sponsorship AC, 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.extent 40 pag. es_ES
dc.format.mimetype application/pdf en
dc.language.iso eng en
dc.publisher Princeton University, Department of Mathematics en_US
dc.relation.ispartof Annals of Mathematics en_US
dc.rights The Authors en_US
dc.subject.other Breakdown es_ES
dc.subject.other Darcy law es_ES
dc.subject.other Incompressible flow es_ES
dc.subject.other Interface dynamics es_ES
dc.subject.other Rayleigh-Taylor es_ES
dc.subject.other Water waves es_ES
dc.title Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves es_ES
dc.type article es_ES
dc.subject.eciencia Matemáticas es_ES
dc.relation.publisherversion http://dx.doi.org/10.4007/annals.2012.175.2.9 es_ES
dc.identifier.doi 10.4007/annals.2012.175.2.9 es_ES
dc.identifier.publicationfirstpage 909 es_ES
dc.identifier.publicationissue 2 es_ES
dc.identifier.publicationlastpage 948 es_ES
dc.identifier.publicationvolume 175 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion en
dc.rights.accessRights openAccess es_ES
dc.authorUAM Gancedo García, Francisco de Asís (263633)

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