International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 1998
Volume 8 - 1998

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

George Avalos, Irena Lasiecka

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.