Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping

Author:

Mukiawa Soh Edwin,Khan Yasir,Al Sulaimani Hamdan,Omaba McSylvester Ejighikeme,Enyi Cyril Dennis

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.

Funder

University of Hafr Al Batin

Publisher

Frontiers Media SA

Subject

Applied Mathematics,Statistics and Probability

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