Exponential decay for a thermo-viscoelastic Bresse system with second sound and delay terms

Exponential decay for a thermo-viscoelastic Bresse system

  • Mohamed Houasni Mr
  • Salah Zitouni
  • Rachida Amiar
Keywords: Bresse system, Exponential stability, Cattaneo’s law, Thermoelasticity, Viscoelasticity, delay.

Abstract

In this paper, we consider a thermo-viscoelastic Bresse system with second sound and delay terms, where the heat flux is given by Cattaneo’s law. Regardless of the speeds of wave propagation and the stable number, which is introduced in [14, 15], we prove an exponential stability result using energy method under suitable assumptions on the weights of the delays and the frictionals damping.

Published
2020-03-20