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On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force (2012.08219v1)
Published 15 Dec 2020 in math.AP
Abstract: In this paper, we investigate the stabilization of a linear Bresse system with one discontinuous local internal viscoelastic damping of Kelvin-Voigt type acting on the axial force, under fully Dirichlet boundary conditions. First, using a general criteria of Arendt-Batty, we prove the strong stability of our system. Finally, using a frequency domain approach combined with the multiplier method, we prove that the energy of our system decays polynomially with different rates.