Research Communication | Open Access
Volume 2019 | Communication ID 123
Volume 2019 | Communication ID 123
| Stability of some linear systems of thermoelasticity |
Jamal Eddine Benyaich, El Mustapha Ait Benhassi, Lahcen Maniar
Received |
Accepted |
Published |
Jan 28, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this article, we are interested in proving the stabilization of some linear systems of thermoelasticity. Firstly, under suitable assumptions and using decoupling techniques, we prove the compactness of the difference between the porous thermoelastic semigroup, its decoupled one and the two second order equations in the decoupled system [1]. This will be achieved by proving the norm continuity of this difference and the compactness of the difference between the resolvents of their generators. Consequently, these three semi-groups have the same essential spectrum, what allows to ...