Exponential stability for a Timoshenko thermoelastic system with second sound and a time-varying delay term in the internal feedback

Article type: Research Article

Authors: Khalili, Zineb^{; *} | Ouchenane, Djamel

Affiliations: Laboratory of Pure and Applied Mathematics, University of Amar TELIDJI, Laghouat, Algeria

Correspondence: [*] Corresponding author. E-mail: z.khalili@lagh-univ.dz.

Abstract: The main goal of this paper is to investigate the exponential stability of the Timoshenko system in thermoelasticity of second sound with a time-varying delay term in the internal feedback. The well-posedness of the problem is assured by using the variable norm technique of Kato. Furthermore the stability of the system is shown by applying the energy method.

Keywords: Timoshenko system, thermoelasticity, second sound, linear damping, exponential decay

DOI: 10.3233/ASY-221787

Journal: Asymptotic Analysis, vol. 132, no. 1-2, pp. 131-152, 2023