Convective Transport in Nanofluids: Regularity of Solutions and Error Estimates for Finite Element Approximations

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dc.conicet.fuenteindividual
dc.conicet.organizacionUniversitat Erlangen-Nuremberg
dc.conicet.organizacionConsejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe
dc.conicet.organizacionUniversidad Nacional del Litoral. Facultad de Ingeniería Química
dc.conicet.paisOrganizacionAlemania
dc.conicet.paisOrganizacionArgentina
dc.conicet.paisOrganizacionArgentina
dc.conicet.produccionid11110795
dc.contributor.authorBänsch, Eberhard
dc.contributor.authorMorin, Pedro
dc.date.accessioned2023-08-14T17:34:33Z
dc.date.available2023-08-14T17:34:33Z
dc.date.issued2021-05
dc.date.updated2023-08-10T17:54:32Z
dc.description.abstractWe study the stationary version of a thermodynamically consistent variant of the Buongiorno model describing convective transport in nanofluids. Under some smallness assumptions it is proved that there exist regular solutions. Based on this regularity result, error estimates, both in the natural norm as well as in weaker norms for finite element approximations can be shown. The proofs are based on the theory developed by Caloz and Rappaz for general nonlinear, smooth problems. Computational results confirm the theoretical findings.es
dc.description.filFil: Bänsch, Eberhard. Universitat Erlangen-Nuremberg; Alemania
dc.description.filFil: Morin, Pedro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina
dc.formatapplication/pdfes
dc.identifier.citationBänsch, Eberhard; Morin, Pedro; Convective Transport in Nanofluids: Regularity of Solutions and Error Estimates for Finite Element Approximations; Birkhauser Verlag Ag; Journal Of Mathematical Fluid Mechanics; 23; 2; 5-2021; 1-17es
dc.identifier.institucionalCONICET
dc.identifier.issn1422-6928es
dc.identifier.repoCONICET Digital
dc.identifier.urihttp://hdl.handle.net/11336/208186
dc.journal.ciudadBasileaes
dc.journal.number2es
dc.journal.pagination1-17es
dc.journal.paisSuizaes
dc.journal.titleJournal Of Mathematical Fluid Mechanicses
dc.journal.volume23es
dc.language.isoenges
dc.publisherBirkhauser Verlag Ages
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00021-020-00554-y
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s00021-020-00554-y
dc.rightsinfo:eu-repo/semantics/restrictedAccess*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/*
dc.subject35B65es
dc.subject35K55es
dc.subject65N30es
dc.subjectERROR ESTIMATESes
dc.subjectFINITE ELEMENTSes
dc.subjectHEAT TRANSFERes
dc.subjectLP ESTIMATESes
dc.subjectNANOFLUIDes
dc.subjectREGULARITYes
dc.subjectTHERMOPHORESISes
dc.subjectWEAK SOLUTIONes
dc.subject.classificationMatemática Aplicadaes
dc.subject.classificationMatemáticases
dc.subject.classificationCIENCIAS NATURALES Y EXACTASes
dc.titleConvective Transport in Nanofluids: Regularity of Solutions and Error Estimates for Finite Element Approximationses
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion

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