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Stabilization of the Timoshenko Beam by Thermal Effect |
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| Authors: | Abdelhak Djebabla Nasser-eddine Tatar |
| Institution: | 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. |
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