Polynomial stability of thermoelastic Timoshenko system with non-global time-delayed Cattaneo’s law

Article type: Research Article

Authors: Badawi, Haidar^{a; b; *} | Alsayed, Hawraa^{a; b}

Affiliations: [a] PDEs with applications in materials sciences and biology, Department of Mathematics and Physics, Lebanese International University LIU, Beirut, Lebanon | [b] PDEs with applications in materials sciences and biology, Department of Mathematics and Physics, Lebanese International University of Beirut BIU, Beirut, Lebanon

Correspondence: [*] Corresponding author. E-mail: haidar.badawi@liu.edu.lb.

Abstract: In this paper, we consider a one dimensional thermoelastic Timoshenko system in which the heat flux is given by Cattaneo’s law and acts locally on the bending moment with a time delay. We prove its well-posedness, strong stability, and polynomial stability.

Keywords: Timoshenko system, Cattaneo’s law, strong stability, polynomial stability, frequency domain approach, time delay

DOI: 10.3233/ASY-231888

Journal: Asymptotic Analysis, vol. 138, no. 1-2, pp. 1-26, 2024