Well-posedness and stability result for a thermoelastic Rao-Nakra beam model

Abstract

We consider a Rao-Nakra beam model with memory and thermal dissipation governed by Fourier’s law of heat conduction. We show that the damping mechanism effected by the memory term on one of the wave equations corresponding to the bottom layer is enough to guarantee general stability of the Roa-Nakra beam equation. Thus, exponential and polynomial decay are special cases.