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dc.contributor.authorFernández, Jose R.
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2021-03-18T10:01:12Z
dc.date.available2021-03-18T10:01:12Z
dc.date.issued2021-03-15
dc.identifier.citationFernández, J.; Quintanilla, R. Uniqueness and exponential instability in a new two-temperature thermoelastic theory. "AIMS Mathematics", 15 Març 2021, vol. 6, núm. 6, p. 5440-5451.
dc.identifier.issn2473-6988
dc.identifier.urihttp://hdl.handle.net/2117/341937
dc.description.abstractIIn this work we consider the temperature-rate dependent two temperatures thermoelastic theory. It has been proposed very recently. We study the case in which the elasticity tensor may not be positive definite. Thus, the problem can be ill posed in the sense of Hadamard. We adapt the logarithmic convexity argument to the specific situation proposed by this theory. That is, we define a suitable function on the solutions satisfying that the logarithm is convex. Uniqueness and instability of the solutions under suitable conditions on the constitutive tensors are proved
dc.format.extent12 p.
dc.language.isoeng
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMS
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshThermoelasticity
dc.subject.otherTemperature-rate dependent two-temperature thermoelasticity: Uniqueness
dc.subject.otherLogarithmic convexity
dc.subject.otherExponential instability
dc.titleUniqueness and exponential instability in a new two-temperature thermoelastic theory
dc.typeArticle
dc.subject.lemacTermoelasticitat
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.3934/math.2021321
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
dc.subject.amsClassificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
dc.relation.publisherversionhttp://www.aimspress.com/article/doi/10.3934/math.2021321
dc.rights.accessOpen Access
local.identifier.drac30778069
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/AEI/1PE/PID2019-105118GB-I00
local.citation.authorFernández, J.; Quintanilla, R.
local.citation.publicationNameAIMS Mathematics
local.citation.volume6
local.citation.number6
local.citation.startingPage5440
local.citation.endingPage5451


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Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution 4.0 Generic