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- W1991562697 abstract "Abstract We consider the feedback stabilization of a simplified 1d model for a fluid–structure interaction system. The fluid equation is the viscous Burgers equation whereas the motion of the particle is given by the Newton's laws. We stabilize this system around a stationary state by using feedbacks located at the exterior boundary of the fluid domain. With one input, we obtain a local stabilizability of the system with an exponential decay rate of order σ σ 0 . An arbitrary order for the exponential decay rate can be proved if a unique continuation result holds true or if two inputs are used to stabilize the system. Our method is based on general arguments for stabilization of nonlinear parabolic systems combined with a change of variables to handle the fact that the fluid domains of the stationary state and of the stabilized solution are different." @default.
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- W1991562697 date "2014-04-01" @default.
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- W1991562697 title "Feedback stabilization of a simplified 1d fluid–particle system" @default.
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- W1991562697 doi "https://doi.org/10.1016/j.anihpc.2013.03.009" @default.
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