New stability number of the Timo- shenko system with only microtemperature effects and without thermal conductivity1

Abstract

In this work, we study the asymptotic behavior of a thermoelastic Timoshenko system with dissipation due only to microtemperature effects and no thermal diffusivity. Under an appropriate new assumption about the coefficients of the system and by using the energy method, we prove that the unique dissipation due to microtemperatures is strong enough to stabilize the system exponentially.