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 |
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Salim A. Messaoudi Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia email: messaoud@kfupm.edu.sa |
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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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