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Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids

Author
Magaña, A.; Miranville, A.; Quintanilla, R.
Type of activity
Journal article
Journal
Journal of mathematical analysis and applications
Date of publication
2020-12-15
Volume
492
Number
2
First page
124504-1
Last page
124504-14
DOI
10.1016/j.jmaa.2020.124504
Project funding
Mathematical Analysis Applied to Thermomechanics
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/328352 Open in new window
URL
https://www.sciencedirect.com/science/article/abs/pii/S0022247X20306661 Open in new window
Abstract
In this note we study the problem proposed by the one-dimensional thermo-porous-elasticity of type II with quasi-static microvoids or, in mathematical terms, when the second time derivative of the volume fraction is so small that it can be negligible. It is known that the isothermal deformations decay in a slow way. Here we prove that the introduction of a conservative mechanism, as it is the type II heat conduction, makes the deformations damp generically in an exponential way, which is a strik...
Citation
Magaña, A.; Miranville, A.; Quintanilla, R. Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids. "Journal of mathematical analysis and applications", 15 Desembre 2020, vol. 492, núm. 2, p. 124504-1-124504-14.
Keywords
Exponential decay, Quasi-static microvoids, Type II thermoelasticity
Group of research
GRAA - Research Group in Applied Analysis
GRTJ - Game Theory Research Group

Participants