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Uniform decay rates for solutions to a structural acoustics model with nonlinear dissipation

Avalos G., Lasiecka I.

Applied Mathematics and Computer Science

1998

Vol. 8, no 2

287-312

In this work, the asymptotic behavior of solutions to a coupled hyperbolic/parabolic-like system is investigated. It is shown that with both components of the equation being subjected to nonlinear damping (boundary damping for the wave component, interior for the beam), a global uniform stability is attained for all (weak) solutions.