dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.contributor.author
Miranville, Alain
dc.contributor.author
Quintanilla de Latorre, Ramón
dc.identifier
Miranville, A.; Quintanilla, R. Exponential decay in one-dimensional type II thermoviscoelasticity with voids. "Journal of computational and applied mathematics", Abril 2020, vol. 368, p. 112573-1-112573-6.
dc.identifier
https://hdl.handle.net/2117/173517
dc.identifier
10.1016/j.cam.2019.112573
dc.description.abstract
In this paper we consider the one-dimensional type II thermoviscoelastic theory with voids. We prove that generically we have exponential stability of the solutions. This is a striking fact if one compares it with the behavior in the case of the classical thermoviscoelastic theory based on the classical Fourier law for which the decay is generically slower.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (author's final draft)
dc.format
application/pdf
dc.relation
https://www.sciencedirect.com/science/article/abs/pii/S0377042719305783
dc.relation
info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject
Thermoelasticity
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Viscoelasticity
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Type II thermoelasticity
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Exponential decay
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Termoelasticitat
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Viscoelasticitat
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Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
dc.subject
Classificació AMS::74 Mechanics of deformable solids::74G Equilibrium (steady-state) problems
dc.title
Exponential decay in one-dimensional type II thermoviscoelasticity with voids
