1. Department of Mathematics, University Badji Mokhtar, B.P. 12, Annaba, 23141, Algeria 2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia
Abstract:
We consider a linear system of Timoshenko type in a bounded interval. No dissipative mechanism is added in the system or at
the edges of the beam. The damping occurs through a thermal effect by coupling the system with a heat equation suggested by
Green and Naghdi. We prove exponential decay of solutions of the augmented system.