Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping

Autor: Soh Edwin Mukiawa, Yasir Khan, Hamdan Al Sulaimani, McSylvester Ejighikeme Omaba, Cyril Dennis Enyi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)
Druh dokumentu: article
ISSN: 2297-4687
DOI: 10.3389/fams.2023.1153071
Popis: 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.
Databáze: Directory of Open Access Journals