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Journal Articles Asymptotic Analysis Year : 2017

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.

Dates and versions

hal-02169457 , version 1 (01-07-2019)

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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, 2017, 103 (1-2), pp.33-55. ⟨10.3233/ASY-171418⟩. ⟨hal-02169457⟩
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