Decay rate of solution for a Lord‐Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping

Abstract

In this study, our primary emphasis lies in examining and exploring the decay rate of solutions of a Lord‐Shulman thermoelastic Timoshenko model with microtemperature impact. Through the application of the energy method within the Fourier space and subject to appropriate assumptions, we prove that the decay rate of the solution is of the form in the case of absence of mechanical damping term.