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oai:recercat.cat:2117/1735172026-02-04T07:05:36Zcom_2072_1033col_2072_452950

Exponential decay in one-dimensional type II thermoviscoelasticity with voids Miranville, Alain Quintanilla de Latorre, Ramón Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències Thermoelasticity Viscoelasticity Type II thermoelasticity Voids Exponential decay Viscosity Termoelasticitat Viscoelasticitat Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application Classificació AMS::74 Mechanics of deformable solids::74G Equilibrium (steady-state) problems 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. Peer Reviewed Postprint (author's final draft) 2020-04 Article 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. 0377-0427 https://hdl.handle.net/2117/173517 10.1016/j.cam.2019.112573 eng https://www.sciencedirect.com/science/article/abs/pii/S0377042719305783 info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P https://creativecommons.org/licenses/by-nc-nd/4.0/ Open Access Attribution-NonCommercial-NoDerivatives 4.0 International application/pdf