Thermal Timoshenko beam system with suspenders and Kelvin-Voigt damping

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.

Automated summary

In this study, we analyze a thermal-Timoshenko-beam system with suspenders and Kelvin-Voigt damping type, considering the heat governed by Cattaneo's law. By utilizing semi-group theory and energy method, we establish the existence and uniqueness of a weak global solution, along with an exponential stability result. These results are derived without imposing the equal-wave speed of propagation condition.