On the stabilization of a thermoelastic laminated beam system with microtemperature effects

The present article investigates a one dimensional thermoelastic laminated beam with microtemperature effects. Using the energy method we prove in the case of zero thermal conductivity that the unique dissipation due to the microtemperatures is strong enough to exponentially stabilize the system if and only if the wave speeds of the system are equal. Our result is new and improves previous results in the literature.