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dc.creatorAmrouche, Chérifes
dc.creatorRodríguez Bellido, María Ángeleses
dc.date.accessioned2016-07-05T10:03:05Z
dc.date.available2016-07-05T10:03:05Z
dc.date.issued2014-12-11
dc.identifier.citationAmrouche, C. y Rodríguez Bellido, M.Á. (2014). The Oseen and Navier-Stokes equations in a non-solenoidal framework. Mathematical Methods in the Applied Sciences, 39 (17), 5066-5090.
dc.identifier.issn0170-4214es
dc.identifier.issn1099-1476es
dc.identifier.urihttp://hdl.handle.net/11441/43149
dc.description.abstractThe very weak solution for the Stokes, Oseen and Navier-Stokes equations has been studied by several authors in the last decades in domains of Rn, n ≥ 2. The authors studied the Oseen and Navier-Stokes problems assuming a solenoidal convective velocity in a bounded domain Ω ⊂ R3 of class C1,1 for v ∈ Ls (Ω) for s ≥ 3 in some previous papers. The results for the Navier-Stokes equations were obtained by using a fixed-point argument over the Oseen problem. These results improve those of Galdi et al. , Farwig et al. and Kim for the Navier-Stokes equations, because a less regular domain Ω ⊂ R3 and more general hypothesis on the data are considered. In particular, the external forces must not be small. In this work, existence of weak, strong, regularised and very weak solution for the Oseen problem are proved, mainly assuming that v ∈ L3(Ω) and its divergence ∇ · v is sufficiently small in the W−1,3(Ω)-norm. In this sense, one extends the analysis made by the authors for a given solenoidal v in some previous papers. As a consequence, the existence of very weak solution for the Navier-Stokes problem (u, π) ∈ L3(Ω) × W−1,3(Ω)/R for a non-zero divergence condition is obtained in the 3D case.es
dc.description.sponsorshipMinisterio de Ciencia e Innovación (España) MTM2009-12927es
dc.description.sponsorshipMinisterio de Economía y Competitividad MTM2012-32325es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherWileyes
dc.relation.ispartofMathematical Methods in the Applied Sciences, 39 (17), 5066-5090.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectOseen equationses
dc.subjectNavier-Stokes equationses
dc.subjectVery weak solutionses
dc.subjectStationary solutionses
dc.titleThe Oseen and Navier-Stokes equations in a non-solenoidal frameworkes
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/acceptedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDMTM2009-12927es
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2012-32325es
dc.relation.publisherversionhttp://dx.doi.org/10.1002/mma.3337es
dc.identifier.doi10.1002/mma.3337es
dc.contributor.groupUniversidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Softwarees
idus.format.extent42 p.es
dc.journaltitleMathematical Methods in the Applied Scienceses
dc.publication.volumen39es
dc.publication.issue17es
dc.publication.initialPage5066es
dc.publication.endPage5090es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/43149
dc.contributor.funderMinisterio de Ciencia e Innovación (MICIN). España
dc.contributor.funderMinisterio de Economía y Competitividad (MINECO). España

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