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Moore–Gibson–Thompson thermoelasticity
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-10-11T09:39:56Z |
dc.date.available | 2019-10-11T09:39:56Z |
dc.date.issued | 2019-07-21 |
dc.identifier.citation | Quintanilla, R. Moore–Gibson–Thompson thermoelasticity. "Mathematics and mechanics of solids", 21 Juliol 2019, vol. 24, núm. 12, p. 4020-4031. |
dc.identifier.issn | 1081-2865 |
dc.identifier.uri | http://hdl.handle.net/2117/169798 |
dc.description.abstract | We consider a thermoelastic theory where the heat conduction is escribed by the Moore–Gibson–Thompson equation. In fact, this equation can be obtained after the introduction of a relaxation parameter in the Green–Naghdi type III model. We analyse the one- and three-dimensional cases. In three dimensions, we obtain the well-posedness and the stability of solutions. In one dimension, we obtain the exponential decay and the instability of the solutions depending on the conditions over the system of constitutive parameters.We also propose possible extensions for these theories |
dc.format.extent | 12 p. |
dc.language.iso | eng |
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 equation |
dc.subject.other | Relaxation parameter |
dc.subject.other | Thermoelasticity |
dc.subject.other | Existence |
dc.subject.other | Stability |
dc.title | Moore–Gibson–Thompson thermoelasticity |
dc.type | Article |
dc.subject.lemac | Termoelasticitat |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.1177/1081286519862007 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids |
dc.subject.ams | Classificació AMS::35 Partial differential equations |
dc.relation.publisherversion | https://journals.sagepub.com/doi/10.1177/1081286519862007 |
dc.rights.access | Open Access |
local.identifier.drac | 25814284 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
local.citation.author | Quintanilla, R. |
local.citation.publicationName | Mathematics and mechanics of solids |
local.citation.volume | 24 |
local.citation.number | 12 |
local.citation.startingPage | 4020 |
local.citation.endingPage | 4031 |
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