Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping

Abstract

In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness of weak global solution, and an exponential stability result. The results are obtained without imposing the equal-wave speed of propagation condition. 2010 MSC: 35D30, 35D35, 35B35.