Electron. J. Diff. Equ., Vol. 2012 (2012), No. 128, pp. 1-15.

Energy decay in thermoelasticity type III with viscoelastic damping and delay term

Tijani A. Apalara, Salim A. Messaoudi, Muhammad I. Mustafa

Abstract:
In this article, we consider a thermoelastic system of type III with a viscoelastic damping and internal delay. We use the multiplier method to prove, under suitable assumptions, general energy decay results from which the exponential and polynomial types of decay are only special cases.

Submitted June 11, 2012. Published August 15, 2012.
Math Subject Classifications: 35B37, 35L55, 74D05, 93D15, 93D20.
Key Words: Damping; delay; relaxation function; thermoelasticity; viscoelasticity.

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Tijani A. Apalara
Department of Mathematics and Statistics
King Fahd University of Petroleum and Minerals
Dhahran 31261, Saudi Arabia
email: tijani@kfupm.edu.sa
Salim A. Messaoudi
Department of Mathematics and Statistics
King Fahd University of Petroleum and Minerals
Dhahran 31261, Saudi Arabia
email: messaoud@kfupm.edu.sa
Muhammad I. Mustafa
Department of Mathematics and Statistics
King Fahd University of Petroleum and Minerals
Dhahran 31261, Saudi Arabia
email: mmustafa@kfupm.edu.sa

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