New Exponential Stability Result for Thermoelastic Laminated Beams with Structural Damping and Second Sound

Abstract

This paper investigates a system of thermoelastic laminated beams with structural damping where Maxwell-Cattaneo’s law, popularly referred to as the second sound, governs the heat flux. We unexpectedly achieve an exponential stability result depending only on the wave speeds of the system instead of the complicated stability number introduced in some papers in the literature. Consequently, our result substantially improves some of the results in the literature.