Loading...
Loading...

Go to the content (press return)

On the time decay in phase-lag thermoelasticity with two temperatures

Author
Magaña, A.; Miranville, A.; Quintanilla, R.
Type of activity
Journal article
Journal
Electronic Research Archive
Date of publication
2019-09-12
Volume
27
First page
7
Last page
19
DOI
10.3934/era.2019007
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/170281 Open in new window
URL
https://aimsciences.org/article/doi/10.3934/era.2019007 Open in new window
Abstract
The aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive temperature are approximated by a second-order and first-order Taylor polynomial, respectively. In this case, the solutions decay in a slow way. The second model that we consider is obtained taking first-order Taylor approximations for the inductive thermal displacement, the...
Keywords
Exponential stability, Phase-lag thermoelasticity, Slow decay, Spectral analysis
Group of research
GRAA - Research Group in Applied Analysis
GRTJ - Game Theory Research Group

Participants