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

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

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