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arXiv · 2012.08219

On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force

Mohammad Akil·Haidar Badawi·Serge Nicaise·Ali Wehbe
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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.

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Mohammad Akil, Haidar Badawi, Serge Nicaise, Ali Wehbe. 2020-12-15. On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force. https://doi.org/10.1007/s00033-021-01558-y

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