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dc.contributor.authorCórdoba, Diego-
dc.contributor.authorGancedo, Francisco-
dc.contributor.authorOrive, Rafael-
dc.date.accessioned2008-11-10T12:38:31Z-
dc.date.available2008-11-10T12:38:31Z-
dc.date.issued2007-06-06-
dc.identifier.citationJ. Math. Phys. 48(6): 065206 (2007)en_US
dc.identifier.issn0022-2488-
dc.identifier.urihttp://hdl.handle.net/10261/8374-
dc.description19 pages, 8 figures.-- 2000 Mathematics Subject Classification (MSC): 76S05, 76B03, 65N06.-- PACS nrs.: 47.56.+r, 47.10.Fg.-- First version of the paper presented at: International Congress of Mathematicians 2006 (Madrid, 22-30 Aug 2006), http://www.icm2006.org/v_f/AbsDef/Shorts/abs_1588.pdf.en_US
dc.description.abstractIn this paper we study the analytic structure of a two-dimensional mass balance equation of an incompressible fluid in a porous medium given by Darcy's law. We obtain local existence and uniqueness by the particle-trajectory method and we present different global existence criterions. These analytical results with numerical simulations are used to indicate nonformation of singularities. Moreover, blow-up results are shown in a class of solutions with infinite energy.en_US
dc.description.sponsorshipThe authors were partially supported by the grant MTM2005-05980 of the MEC (Spain) and S-0505/ESP/0158 of the CAM (Spain). The third author was partially supported by the grant MTM2005-00714 of the MEC (Spain).en_US
dc.format.extent1183087 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoengen_US
dc.publisherAmerican Institute of Physicsen_US
dc.rightsopenAccessen_US
dc.subjectFlow through porous mediaen_US
dc.subjectFlow simulationen_US
dc.subjectNumerical analysisen_US
dc.titleAnalytical behaviour of 2D incompressible flow in porous mediaen_US
dc.title.alternativeAnalytical behavior of two-dimensional incompressible flow in porous media-
dc.typeartículoen_US
dc.identifier.doi10.1063/1.2404593-
dc.description.peerreviewedPeer revieweden_US
dc.relation.publisherversionhttp://dx.doi.org/10.1063/1.2404593en_US
dc.identifier.e-issn1089-7658-
dc.type.coarhttp://purl.org/coar/resource_type/c_6501es_ES
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.openairetypeartículo-
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