Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418542 | Journal of Mathematical Analysis and Applications | 2014 | 12 Pages |
Abstract
This paper deals with the linear theory of isotropic micropolar thermoviscoelastic materials. When the dissipation is positive definite, we present two uniqueness theorems. The first one requires the extra assumption that some coupling terms vanish; in this case, the instability of solutions is also proved. When the internal energy and the dissipation are both positive definite, we prove the well-posedness of the problem and the analyticity of the solutions. Exponential decay and impossibility of localization are corollaries of the analyticity.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Antonio Magaña, Ramón Quintanilla,