Energy decay of the Bresse system by two thermo-viscoelastic dampings
Abstract
In this paper, we consider a one-dimensional linear Bresse system without using any internal or boundary damping, where this system produces a dissipation of energy only when complemented by two thermo-viscoelastic damping, knowing that the type of thermal diffusion used was introduced by Green and Naghdi. We establish the stability of the system with Drichlet boundary conditions and for the case of equal speeds of wave propagation, this is done by selecting suitable Lyapunov functionals.
Published
2020-11-29
Section
Articles