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Decay rates of Saint-Venant type for functionally graded heat-conducting materials
dc.contributor.author | Leseduarte Milán, María Carme |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-03-25T13:22:52Z |
dc.date.available | 2021-03-16T01:28:52Z |
dc.date.issued | 2019-06 |
dc.identifier.citation | Leseduarte, 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.issn | 0020-7225 |
dc.identifier.uri | http://hdl.handle.net/2117/130813 |
dc.description.abstract | This 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.extent | 18 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Heat -- Conduction |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.other | Functionally graded materials |
dc.subject.other | Heat conduction |
dc.subject.other | Spatial decay estimates |
dc.title | Decay rates of Saint-Venant type for functionally graded heat-conducting materials |
dc.type | Article |
dc.subject.lemac | Calor -- Conducció |
dc.subject.lemac | Equacions diferencials parcials |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.1016/j.ijengsci.2019.03.001 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/abs/pii/S0020722517325910 |
dc.rights.access | Open Access |
local.identifier.drac | 24004259 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
local.citation.author | Leseduarte, M. C.; Quintanilla, R. |
local.citation.publicationName | International journal of engineering science |
local.citation.volume | 139 |
local.citation.startingPage | 24 |
local.citation.endingPage | 41 |
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