Frontiers in Applied Mathematics and Statistics (May 2023)

Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping

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

DOI
https://doi.org/10.3389/fams.2023.1153071
Journal volume & issue
Vol. 9

Abstract

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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.

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