Speaker. Salim A. Messaoudi,  University of Sharjah, UAE.

Title. On a thermoelastic Timoshenko system without the second spectrum: existence and stability.

Abstract. In this work we study the well-posedness and the asymptotic stability of a linear thermoelastic Timoshenko system free of second spectrum, where the heat conduction is given by Cattaneo’s  law. We establish the well-posedness, using the semigroup theory. Then, we prove that the system is exponentially stable irrespective of the coefficients. We also illustrate our theoretical results by performing some numerical tests.

Keywords: Cattaneo’s law, Exponential decay, Second spectrum, Timoshenko system