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Exponential stability in three-dimensional type III thermo-porous-elasticity with microtemperatures

Author
Magaña, A.; Quintanilla, R.
Type of activity
Journal article
Journal
Journal of elasticity
Date of publication
2019-09-02
First page
1
Last page
9
DOI
10.1007/s10659-019-09748-6
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/170099 Open in new window
URL
https://link.springer.com/article/10.1007%2Fs10659-019-09748-6 Open in new window
Abstract
We study the time decay of the solutions for the type III thermoelastic theory with microtemperatures and voids. We prove that, under suitable conditions for the constitutive tensors, the solutions decay exponentially. This fact is in somehow striking because it differs from the behaviour of the solutions in the classical model of thermoelasticity with microtemperatures and voids, where the exponential decay is not expected in the general case.
Keywords
Exponential decay, Microtemperatures, Type III thermoelasticity with voids
Group of research
GRAA - Research Group in Applied Analysis
GRTJ - Game Theory Research Group

Participants