A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conduction

Abstract

The present paper investigates the stability of a one-dimensional thermoelastic-Bresse system, where viscoelastic damping is acting on the vertical angle displacement and thermal dissipation governed by Maxwell–Cattaneo’s law is effective on the shear angle displacement. Assuming very general conditions on the memory term and physical parameters, we show that the solution energy has a general and optimal decay estimate from which the exponential and polynomial decay estimates are only particular cases.