The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Evolution Equations and Control Theory Année : 2022

The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization

Résumé

In this paper, we investigate the stabilization of a linear Bresse system with one singular local frictional damping acting in the longitudinal displacement, under fully Dirichlet boundary conditions. First, we prove the strong stability of our system. Next, using a frequency domain approach combined with the multiplier method, we establish the exponential stability of the solution if the three waves have the same speed of propagation. On the contrary, we prove that the energy of our system decays polynomially with rates 1/t or 1/sqrt(t)

Dates et versions

hal-04347040 , version 1 (15-12-2023)

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Mohammad Akil, Haidar Badawi. The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization. Evolution Equations and Control Theory, 2022, 11 (6), pp.1903-1928. ⟨10.3934/eect.2022004⟩. ⟨hal-04347040⟩
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