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MArch/April 2009 Energy decay in a Timoshenko-type system with history in thermoelasticity of type III
Salim A. Messaoudi, Belkacem Said-Houari
Adv. Differential Equations 14(3/4): 375-400 (MArch/April 2009).

Abstract

In this paper we consider a one-dimensional linear thermoelastic system of Timoshenko type with past history acting only in one equation. We consider the model where the heat conduction is given by Green and Naghdi's theories and prove exponential and polynomial stability results for the equal and nonequal wave-speed propagation. Our results are established under conditions on the relaxation function weaker than those in [9].

Citation

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Salim A. Messaoudi. Belkacem Said-Houari. "Energy decay in a Timoshenko-type system with history in thermoelasticity of type III." Adv. Differential Equations 14 (3/4) 375 - 400, MArch/April 2009.

Information

Published: MArch/April 2009
First available in Project Euclid: 18 December 2012

zbMATH: 1168.35320
MathSciNet: MR2493566

Subjects:
Primary: 35B37, 35L55, 74D05, 93D15, 93D20

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.14 • No. 3/4 • MArch/April 2009
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