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

TITLE=Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=9

YEAR=2023

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2023.1153071

DOI=10.3389/fams.2023.1153071

ISSN=2297-4687

ABSTRACT=<p>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.</p><p><bold>2010 MSC:</bold> 35D30, 35D35, 35B35.</p>