Feedback stabilization of a simplified model of fluid-structure interaction on a tree

Abstract : In this paper we study the dynamic feedback stability for some simplified model of fluid-structure interaction on a tree. We prove that, under some conditions, the energy of the solutions of the dissipative system decay exponentially to zero when the time tends to infinity. Our technique is based on a frequency domain method and a special analysis for the resolvent.
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Submitted on : Monday, July 1, 2019 - 11:36:59 AM
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Kaïs Ammari, Farhat Shel, Muthusamy Vanninathan. Feedback stabilization of a simplified model of fluid-structure interaction on a tree. Asymptotic Analysis, IOS Press, 2017, 103 (1-2), pp.33-55. ⟨10.3233/ASY-171418⟩. ⟨hal-02169457⟩

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