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

Salah Drabla; Salim A. Messaoudi; Fairouz Boulanouar

doi:10.3934/dcdsb.2017064

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2017, Volume 22, Issue 4: 1329-1339. Doi: 10.3934/dcdsb.2017064

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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
* Corresponding author: Salah Drabla

Received: March 31, 2015

Revised: November 30, 2016

Published: August 2017

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Abstract

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.

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Mathematics Subject Classification: 35B37, 35L55, 74D05, 93D15, 93D20.

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