Loading...
Loading...

Go to the content (press return)

Exponential decay in one-dimensional Type II/III thermoelasticity with two porosities

Author
Magaña, A.; Quintanilla, R.
Type of activity
Journal article
Journal
Mathematical methods in the applied sciences
Date of publication
2020-04-26
First page
1
Last page
17
DOI
10.1002/mma.6438
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/187178 Open in new window
URL
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.6438 Open in new window
Abstract
In this paper we consider the theory of thermoelasticity with a double porosity structure in the context of the Green-Naghdi types II and III heat conduction models. For the type II, the problem is given by four hyperbolic equations and it is conservative (there is no energy dissipation). We introduce in the system a couple of dissipation mechanisms in order to obtain the exponential de- cay of the solutions. To be precise, we introduce a pair of the following damping mechanisms: viscoelasticity...
Citation
Magaña, A.; Quintanilla, R. Exponential decay in one-dimensional Type II/III thermoelasticity with two porosities. "Mathematical methods in the applied sciences", 26 Abril 2020, p. 1-17.
Keywords
Exponential decay., Type II/III thermoelasticity with double voids, Viscoporosity, Viscosity
Group of research
GRAA - Research Group in Applied Analysis
GRTJ - Game Theory Research Group

Participants