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Exponential stability in type II thermoviscoelasticity with voids

Author: Miranville, A.; Quintanilla, R.

Type of activity: Journal article
Journal: Journal of computational and applied mathematics
Date of publication: 2020-04
Volume: 368
First page: 112573-1
Last page: 112573-6
DOI: 10.1016/j.cam.2019.112573
Project funding: Mathematical analysis of problems from thermomechanics

Repository: http://hdl.handle.net/2117/173517
URL: https://www.sciencedirect.com/science/article/abs/pii/S0377042719305783
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.
Citation: Miranville, A.; Quintanilla, R. Exponential stability in type II thermoviscoelasticity with voids. "Journal of computational and applied mathematics", Abril 2020, vol. 368, p. 112573-1-112573-6.
Keywords: Exponential decay, Type II thermoelasticity, Viscosity, Voids

Group of research: GRAA - Research Group in Applied Analysis