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dc.contributor.authorLeseduarte Milán, María Carme
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-03-25T13:22:52Z
dc.date.issued2019-06
dc.identifier.citationLeseduarte, M. C.; Quintanilla, R. Decay rates of Saint-Venant type for functionally graded heat-conducting materials. "International journal of engineering science", Juny 2019, vol. 139, p. 24-41.
dc.identifier.issn0020-7225
dc.identifier.urihttp://hdl.handle.net/2117/130813
dc.description.abstractThis paper investigates decay rates for the spatial behaviour of solutions for functionally graded heat-conducting materials. From a mathematical point of view, we obtain a new inequality of Poincarétype. This new result allows us to give new decay rates for functionally graded materials when the inhomogeneity depends on the radial variable and the axial variable of the cylinder. The case when the cross-section is increasing is also considered. Besides, we propose to obtain estimates for the case of mixtures. Some pictures illustrate our estimates.
dc.format.extent18 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshHeat -- Conduction
dc.subject.lcshDifferential equations, Partial
dc.subject.otherFunctionally graded materials
dc.subject.otherHeat conduction
dc.subject.otherSpatial decay estimates
dc.titleDecay rates of Saint-Venant type for functionally graded heat-conducting materials
dc.typeArticle
dc.subject.lemacCalor -- Conducció
dc.subject.lemacEquacions diferencials parcials
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1016/j.ijengsci.2019.03.001
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
dc.subject.amsClassificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S0020722517325910
dc.rights.accessRestricted access - publisher's policy
drac.iddocument24004259
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P
dc.date.lift2021-03-16
upcommons.citation.authorLeseduarte, M. C.; Quintanilla, R.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameInternational journal of engineering science
upcommons.citation.volume139
upcommons.citation.startingPage24
upcommons.citation.endingPage41


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Except where otherwise noted, content on this work is licensed under a Creative Commons license: Attribution-NonCommercial-NoDerivs 3.0 Spain