# American Institute of Mathematical Sciences

June  2017, 22(4): 1329-1339. doi: 10.3934/dcdsb.2017064

## A general decay result for a multi-dimensional weakly damped thermoelastic system with second sound

 1 Applied Mathematics Laboratory, Setif 1 University, 19000, Algeria 2 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

* Corresponding author: Salah Drabla

Received  April 2015 Revised  December 2016 Published  February 2017

In this article we consider an n-dimensional system of thermoelasticity with second sound in the presence of a weak frictional damping. We establish an explicit and general decay rate result, using some properties of convex functions. Our result is obtained without imposing any restrictive growth assumption on the frictional damping term.

Citation: Salah Drabla, Salim A. Messaoudi, Fairouz Boulanouar. A general decay result for a multi-dimensional weakly damped thermoelastic system with second sound. Discrete & Continuous Dynamical Systems - B, 2017, 22 (4) : 1329-1339. doi: 10.3934/dcdsb.2017064
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