Stabilization of a suspension bridge with locally distributed damping
Stabilization of a suspension bridge with locally distributed damping
We study a nonlocal evolution equation modeling the deformation of a bridge, either
a footbridge or a suspension bridge. Contrarily to the previous literature, we prove
the exponential asymptotic stability of the considered model with a small amount of
damping (namely, on a small collar around the whole boundary) which represents less
cost of material.
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In this manuscript we consider a coupled, by second order terms, system of two wave
equations with a past history acting on the first equation as a stabilizer. We show that the solution of…
In this paper, a system of coupled quasi-linear and linear wave equations with a finite memory term is concerned. By constructing an appropriate Lyapunov function, we prove that the total energy…