Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping
Soh Edwin Mukiawa, Yasir Khan, Hamdan Al Sulaimani, McSylvester Ejighikeme Omaba, Cyril Dennis Enyi
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.
Topics & Concepts
Timoshenko beam theoryUniquenessBeam (structure)PhysicsThermalExponential stabilityThermoelastic dampingExponential decayMathematicsMathematical analysisMechanicsClassical mechanicsThermodynamicsOpticsQuantum mechanicsNonlinear systemStability and Controllability of Differential EquationsThermoelastic and Magnetoelastic PhenomenaAdvanced Mathematical Modeling in Engineering