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Global existence for some transport equations with nonlocal velocity

dc.contributor.authorBae, Hantaek
dc.contributor.authorGranero Belinchón, Rafael 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2023-10-27T17:20:00Z
dc.date.available2023-10-27T17:20:00Z
dc.date.issued2015-01
dc.identifier.issn0001-8708
dc.identifier.issn1090-2082
dc.identifier.otherMTM2011-26696es_ES
dc.identifier.urihttps://hdl.handle.net/10902/30374
dc.description.abstractIn this paper, we study transport equations with nonlocal velocity fields with rough initial data. We address the global existence of weak solutions of a one dimensional model of the surface quasi-geostrophic equation and the incompressible porous media equation, and one dimensional and n dimensional models of the dissipative quasi-geostrophic equations and the dissipative incompressible porous media equation. © 2014 Elsevier Inc.es_ES
dc.description.sponsorshipH.B. and R.G.-B. acknowledge Prof. H. Dong for his valuable comments that highly improve the manuscript. The authors also gratefully acknowledge the support by the Department of Mathematics at UC Davis where this research was performed. H.B. is supported by the 2014 Research Fund (Project Number 1.140076.01) of UNIST (Ulsan National Institute of Science and Technology). R.G.-B. is partially supported by the grant MTM2011-26696 from the former Ministerio de Ciencia e Innovación (MICINN, Spain).es_ES
dc.format.extent17 p.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationales_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceAdvances in Mathematics, 2015, 269, 197-219es_ES
dc.subject.otherTransport equationes_ES
dc.subject.otherNonlocal velocity fieldes_ES
dc.subject.otherWeak solutiones_ES
dc.subject.otherEntropyes_ES
dc.titleGlobal existence for some transport equations with nonlocal velocityes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.aim.2014.10.016es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1016/j.aim.2014.10.016
dc.type.versionacceptedVersiones_ES


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