Decay property of regularity-loss type of solutions in elastic solids with voids |
| |
| Authors: | Belkacem Said-Houari Salim A. Messaoudi |
| |
| Affiliation: | 1. Division of Mathematical and Computer Sciences and Engineering , King Abdullah University of Science and Technology (KAUST) , Thuwal , Saudi Arabia saidhouarib@yahoo.fr;3. Department of Mathematics &4. Statistics , King Fahd University of Petroleum and Minerals , Dhahran , 3126 , Saudi Arabia |
| |
| Abstract: | In this article, we consider two porous systems of nonclassical thermoelasticity in the whole real line. We discuss the long-time behaviour of the solutions in the presence of a strong damping acting, together with the heat effect, on the elastic equation and establish several decay results. Those decay results are shown to be very slow and of regularity-loss type. Some improvements of the decay rates have also been given, provided that the initial data belong to some weighted spaces. |
| |
| Keywords: | decay rate heat conduction thermoelasticity |
|
|
