Interface evolution: the Hele-Shaw and Muskat problems

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Show simple item record Córdoba, Antonio Córdoba, Diego Gancedo, Francisco
dc.contributor.other UAM. Departamento de Matemáticas es_ES 2014-10-22T14:28:17Z 2014-10-22T14:28:17Z 2011-01-01
dc.identifier.citation Annals of Mathematics 173.1 (2011):477-542 en_US
dc.identifier.issn 0003-486X (print) es_ES
dc.identifier.issn 1939-8980 (online) es_ES
dc.description The following article appeared in Annals of Mathematics 173.1 (2011):477-542 and may be found at en_US
dc.description.abstract We study the dynamics of the interface between two incompressible 2-D flows where the evolution equation is obtained from Darcy's law. The free boundary is given by the discontinuity among the densities and viscosities of the fluids. This physical scenario is known as the two-dimensional Muskat problem or the two-phase Hele-Shaw flow. We prove local-existence in Sobolev spaces when, initially, the difference of the gradients of the pressure in the normal direction has the proper sign, an assumption which is also known as the Rayleigh-Taylor condition. en_US
dc.description.sponsorship The first named author was supported in part by grant MTM2005-04730 of the MEC (Spain). The other two authors were partially supported by grant MTM2005-05980 of the MEC (Spain) and grant StG-203138CDSIF of the ERC. en_US
dc.format.extent 66 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.title Interface evolution: the Hele-Shaw and Muskat problems es_ES
dc.type article es_ES
dc.subject.eciencia Matemáticas es_ES
dc.relation.publisherversion es_ES
dc.identifier.doi 10.4007/annals.2011.173.1.10 es_ES
dc.identifier.publicationfirstpage 477 es_ES
dc.identifier.publicationissue 1 es_ES
dc.identifier.publicationlastpage 542 es_ES
dc.identifier.publicationvolume 173 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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