On the decay rate of a Timoshenko system with dual‐phase‐lag thermoelasticity in unbounded domains

Key Points

• The decay rate of the system's solution is determined through an analysis of the energy in Fourier space, demonstrating the system's behavior.
• A significant finding shows that the -norm of the solution decreases at a specific rate, highlighting its stability properties in unbounded domains.
• This approach utilizes a Lyapunov functional, providing a method to validate the decay properties of the dual-phase-lag thermoelastic Timoshenko system.
• Implications point to further developments in thermal management strategies, especially in systems adhering to dual-phase-lag heat conduction.

Abstract