Advances in Differential Equations

Energy decay in a Timoshenko-type system with history in thermoelasticity of type III

Salim A. Messaoudi and Belkacem Said-Houari

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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].

Article information

Source
Adv. Differential Equations Volume 14, Number 3/4 (2009), 375-400.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867270

Mathematical Reviews number (MathSciNet)
MR2493566

Zentralblatt MATH identifier
1168.35320

Subjects
Primary: 35B37 35L55: Higher-order hyperbolic systems 74D05: Linear constitutive equations 93D15: Stabilization of systems by feedback 93D20: Asymptotic stability

Citation

Messaoudi, Salim A.; Said-Houari, Belkacem. Energy decay in a Timoshenko-type system with history in thermoelasticity of type III. Adv. Differential Equations 14 (2009), no. 3/4, 375--400. https://projecteuclid.org/euclid.ade/1355867270.


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