Exponential stability of a Timoshenko type thermoelastic system with Gurtin-Pipkin thermal law and frictional damping

In this paper we consider a linear thermoelastic system of Timoshenko type where the heat conduction is given by the linearized law of Gurtin-Pipkin. An existence and uniqueness result is proved by the use of a semigroup approach. We establish an exponential stability result without any assumption on the wave speeds once here we have a fully damped system.

• Timoshenko system
• thermoelasticity
• friction damping
• exponential stability
• existence and uniqueness of solutions
• semigroup approach
• wave velocity

• Stability and Controllability of Differential Equations
• Thermoelastic and Magnetoelastic Phenomena
• Vibration and Dynamic Analysis
• Timoshenko system
• thermoelasticity
• friction damping
• exponential stability
• existence and uniqueness of solutions
• semigroup approach
• wave velocity
• Control and Systems Engineering
• Mechanics of Materials
• Engineering