Exponential stability in type II thermoviscoelasticity with voids
- Author
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Miranville, A.; Quintanilla, R.
- Type of activity
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Journal article
- Journal
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Journal of computational and applied mathematics
- Date of publication
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2020-04
- Volume
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368
- First page
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112573-1
- Last page
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112573-6
- DOI
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10.1016/j.cam.2019.112573
- Project funding
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Mathematical analysis of problems from thermomechanics
- Repository
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http://hdl.handle.net/2117/173517
- URL
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https://www.sciencedirect.com/science/article/abs/pii/S0377042719305783
- Abstract
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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
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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
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Exponential decay, Type II thermoelasticity, Viscosity, Voids
- Group of research
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GRAA - Research Group in Applied Analysis