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On the time decay in phase-lag thermoelasticity with two temperatures
dc.contributor.author | Magaña Nieto, Antonio |
dc.contributor.author | Miranville, Alain |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-10-16T15:51:40Z |
dc.date.available | 2019-10-16T15:51:40Z |
dc.date.issued | 2019-09-12 |
dc.identifier.citation | Magaña, A.; Miranville, A.; Quintanilla, R. On the time decay in phase-lag thermoelasticity with two temperatures. "Electronic Research Archive", 12 Setembre 2019, vol. 27, p. 7-19. |
dc.identifier.issn | 2688-1594 |
dc.identifier.uri | http://hdl.handle.net/2117/170281 |
dc.description.abstract | The aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive temperature are approximated by a second-order and first-order Taylor polynomial, respectively. In this case, the solutions decay in a slow way. The second model that we consider is obtained taking first-order Taylor approximations for the inductive thermal displacement, the inductive temperature and the heat flux. The decay is, therefore, of exponential type. |
dc.format.extent | 13 p. |
dc.language.iso | eng |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Thermoelasticity |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.other | Phase-lag thermoelasticity |
dc.subject.other | Exponential stability |
dc.subject.other | Slow decay |
dc.subject.other | Spectral analysis |
dc.title | On the time decay in phase-lag thermoelasticity with two temperatures |
dc.type | Article |
dc.subject.lemac | Termoelasticitat |
dc.subject.lemac | Equacions diferencials parcials |
dc.contributor.group | Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.3934/era.2019007 |
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::74 Mechanics of deformable solids::74H Dynamical problems |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34B Boundary value problems |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35P Spectral theory and eigenvalue problems for partial differential operators |
dc.relation.publisherversion | https://aimsciences.org/article/doi/10.3934/era.2019007 |
dc.rights.access | Open Access |
local.identifier.drac | 25836459 |
dc.description.version | Postprint (published version) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
local.citation.author | Magaña, A.; Miranville, A.; Quintanilla, R. |
local.citation.publicationName | Electronic Research Archive |
local.citation.volume | 27 |
local.citation.startingPage | 7 |
local.citation.endingPage | 19 |
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