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Moore-Gibson-Thompson thermoelasticity with two temperatures
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2020-07-23T11:21:36Z |
dc.date.available | 2020-07-23T11:21:36Z |
dc.date.issued | 2020-05 |
dc.identifier.citation | Quintanilla, R. Moore-Gibson-Thompson thermoelasticity with two temperatures. "Applications in Engineering Science", Maig 2020, vol. 1, p. 100006-1-100006-6. |
dc.identifier.issn | 2666-4968 |
dc.identifier.uri | http://hdl.handle.net/2117/327481 |
dc.description.abstract | In this note we propose the Moore-Gibson-Thompson heat conduction equation with two temperatures and prove the well posedness and the exponential decay of the solutions under suitable conditions on the constitutive parameters. Later we consider the extension to the Moore-Gibson-Thompson thermoelasticity with two temperatures and prove that we cannot expect for the exponential stability even in the one-dimensional case. This last result contrasts with the one obtained for the Moore-Gibson-Thompson thermoelasticity where the exponential decay was obtained. However we prove the polynomial decay of the solutions. The paper concludes by giving the main ideas to extend the theory for inhomogeneous and anisotropic materials. |
dc.language.iso | eng |
dc.publisher | Elsevier |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Thermoelasticity |
dc.subject.other | Moore-Gibson-Thompson heat conduction |
dc.subject.other | Two temperatures |
dc.subject.other | Exponential stability |
dc.subject.other | Slow decay |
dc.subject.other | Polynomial decay |
dc.title | Moore-Gibson-Thompson thermoelasticity with two temperatures |
dc.type | Article |
dc.subject.lemac | Termoelasticitat |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.1016/j.apples.2020.100006 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S2666496820300066 |
dc.rights.access | Open Access |
local.identifier.drac | 28788403 |
dc.description.version | Postprint (published version) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
local.citation.author | Quintanilla, R. |
local.citation.publicationName | Applications in Engineering Science |
local.citation.volume | 1 |
local.citation.startingPage | 100006-1 |
local.citation.endingPage | 100006-6 |
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