Our goal in this paper is to investigate the effect of Fourier law on a new coupling for the Bresse system. We give an explicit characterization on the decay rate that can be exponential or polynomial type, depending on the relation between the coefficients of the wave speed propagation.
"Bresse system with Fourier law on shear force." Adv. Differential Equations 21 (1/2) 55 - 84, January/February 2016.