Complexity (Jan 2020)
On a Thermoelastic Laminated Timoshenko Beam: Well Posedness and Stability
Abstract
In this paper, we are concerned with a linear thermoelastic laminated Timoshenko beam, where the heat conduction is given by Cattaneo’s law. We firstly prove the global well posedness of the system. For stability results, we establish exponential and polynomial stabilities by introducing a stability number χ.