Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472624 | Computers & Mathematics with Applications | 2013 | 15 Pages |
Abstract
We study a PDE system modeling thermomechanical deformations for a mixture of thermoelastic solids. In particular we investigate the asymptotic behavior of the solutions. First, we identify conditions on the constitutive coefficients to guarantee that the imaginary axis is contained in the resolvent. Subsequently, we find the necessary and sufficient conditions to guarantee the exponential decay of solutions. When the decay is not of exponential type, we prove that the solutions decay polynomially and we find the optimal polynomial decay rate.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Jaime E. Muñoz Rivera, Maria Grazia Naso, Ramon Quintanilla,