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• W3134800877 abstract "<p style='text-indent:20px;'>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 <inline-formula><tex-math id=M1>begin{document}$ t^{-1} $end{document}</tex-math></inline-formula> or <inline-formula><tex-math id=M2>begin{document}$ t^{-frac{1}{2}} $end{document}</tex-math></inline-formula>.</p>" @default.
• W3134800877 created "2021-03-15" @default.
• W3134800877 creator A5077651499 @default.
• W3134800877 creator A5086592574 @default.
• W3134800877 date "2022-01-01" @default.
• W3134800877 modified "2023-10-18" @default.
• W3134800877 title "The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization" @default.
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• W3134800877 doi "https://doi.org/10.3934/eect.2022004" @default.
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