Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2012-10-10
General Boundary Stabilization of Memory-Type Thermoelasticity with Second SoundSalim A. Messaoudi and Aisha Al-Shehri (1) King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
(2) Girls College, Dammam University, Saudi Arabia
In this paper we consider an $n$-dimensional system of visco-thermoelasticity with second sound, where a viscoelastic dissipation is acting on a part of the boundary. We prove some decay results for solutions with specific regular initial data. In this regard, polynomial and general decay results are established.
Keywords: Thermoelasticity, second sound, general decay, polynomial decay, relaxation function, boundary stabilization
Messaoudi Salim, Al-Shehri Aisha: General Boundary Stabilization of Memory-Type Thermoelasticity with Second Sound. Z. Anal. Anwend. 31 (2012), 441-461. doi: 10.4171/ZAA/1468