DECAY PROPERTY FOR SOLUTIONS IN ELASTIC SOLIDS WITHOUT MECHANICAL DAMPING

Purchase PDF

Published: 2017-04-08

Page: 123-132


MOHAMED FERHAT

Laboratory ACEDP, Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria.

ALI HAKEM *

Laboratory ACEDP, Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria.

*Author to whom correspondence should be addressed.


Abstract

In this paper, we investigate the Cauchy problem for a system of elastic solids with thermal effect. The heat conduction is given by the type III theory of Green and Naghdi. We prove that the dissipation induced by the heat conduction is responsible to the system stabilization, but with slow decay rate. This improves the previous result in the literature.

Keywords: Decay property, energy method.


How to Cite

FERHAT, M., & HAKEM, A. (2017). DECAY PROPERTY FOR SOLUTIONS IN ELASTIC SOLIDS WITHOUT MECHANICAL DAMPING. Asian Journal of Mathematics and Computer Research, 17(2), 123–132. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/939

Downloads

Download data is not yet available.