Energy decay of the Bresse system by two thermo-viscoelastic dampings

Authors

  • Partial of defferential equation, departement of mathematics Souk Ahras University
  • Laboratory of Applied Mathematics, University Badji Mokhtar,\\ Department of Mathematics, B. P. 12 Annaba 23141, Algeria
  • Department of Mathematics, Faculty of Sciences, University 20 Ao^ut 1955 of Skikda, P.O. Box 26, Skikda 21000, Algeria

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.

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Published

2020-11-29

Issue

Vol. 27 No. 4 (2020): Nonlinear Studies (NS)

Section

Articles

How to Cite

Energy decay of the Bresse system by two thermo-viscoelastic dampings. (2020). Nonlinear Studies, 27(4). https://nonlinearstudies.com/index.php/nonlinear/article/view/2188