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Stability for thermoelastic plates with two temperatures
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.author | Racke, Reinhard |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2017-10-16T11:24:49Z |
dc.date.available | 2018-09-01T00:30:26Z |
dc.date.issued | 2017-12-01 |
dc.identifier.citation | Quintanilla, R.; Racke, R. Stability for thermoelastic plates with two temperatures. "Discrete and continuous dynamical systems. Series A", 1 Desembre 2017, vol. 37, núm. 12, p. 6333-6352. |
dc.identifier.issn | 1078-0947 |
dc.identifier.uri | http://hdl.handle.net/2117/108717 |
dc.description.abstract | We investigate the well-posedness, the exponential stability, or the lack thereof, of thermoelastic systems in materials where, in contrast to classical thermoelastic models for Kirchhoff type plates, two temperatures are involved, related by an elliptic equation. The arising initial boundary value problems for different boundary conditions deal with systems of partial differential equations involving Schrödinger like equations, hyperbolic and elliptic equations, which have a different character compared to the classical one with the usual single temperature. Depending on the model -- with Fourier or with Cattaneo type heat conduction -- we obtain exponential resp. non-exponential stability, thus providing another examples where the change from Fourier's to Cattaneo's law leads to a loss of exponential stability. |
dc.format.extent | 20 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.lcsh | Thermoelasticity |
dc.subject.other | Plate equation |
dc.subject.other | Heat conduction |
dc.subject.other | Two temperatures |
dc.subject.other | Exponential stability |
dc.subject.other | Cattaneo law |
dc.subject.other | Fourier law. |
dc.title | Stability for thermoelastic plates with two temperatures |
dc.type | Article |
dc.subject.lemac | Termoelasticitat |
dc.subject.lemac | Equacions diferencials parcials |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.3934/dcds.2017274 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions |
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::74K Thin bodies, structures |
dc.rights.access | Open Access |
local.identifier.drac | 21332391 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Quintanilla, R.; Racke, R. |
local.citation.publicationName | Discrete and continuous dynamical systems. Series A |
local.citation.volume | 37 |
local.citation.number | 12 |
local.citation.startingPage | 6333 |
local.citation.endingPage | 6352 |
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