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On a singular incompressible porous media equation

dc.creatorFriedlander, Susanes
dc.creatorGancedo García, Franciscoes
dc.creatorSun, Weiranes
dc.creatorVicol, Vlades
dc.date.accessioned2016-09-21T10:43:52Z
dc.date.available2016-09-21T10:43:52Z
dc.date.issued2012-11
dc.identifier.citationFriedlander, S., Gancedo García, F., Sun, W. y Vicol, V. (2012). On a singular incompressible porous media equation. Journal of Mathematical Physics, 53 (115602)
dc.identifier.issn0022-2488es
dc.identifier.issn1089-7658es
dc.identifier.urihttp://hdl.handle.net/11441/45196
dc.description.abstractThis paper considers a family of active scalar equations with transport velocities which are more singular by a derivative of order β than the active scalar. We prove that the equations with 0 < β ≤ 2 are Lipschitz ill-posed for regular initial data. On the contrary, when 0 < β < 1 we show local well-posedness for patch-type weak solutions.es
dc.description.sponsorshipNational Science Foundationes
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes
dc.description.sponsorshipEuropean Research Counciles
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherAIP Publishinges
dc.relation.ispartofJournal of Mathematical Physics, 53 (115602)
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleOn a singular incompressible porous media equationes
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDDMS-0803268es
dc.relation.projectIDMTM2008-03754es
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/203138es
dc.relation.projectIDDMS-0901810es
dc.relation.publisherversionhttp://dx.doi.org/10.1063/1.4725532es
dc.identifier.doi10.1063/1.4725532es
dc.contributor.groupUniversidad de Sevilla. FQM104: Analisis Matematicoes
idus.format.extent20 p.es
dc.journaltitleJournal of Mathematical Physicses
dc.publication.volumen53es
dc.publication.issue11es
dc.publication.initialPage5602
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/45196

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