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

Research paper by Kaïs Ammari, Farhat Shel, Muthusamy Vanninathan

Indexed on: 31 Dec '15Published on: 31 Dec '15Published in: Mathematics - Analysis of PDEs



Abstract

In this paper we study the dynamic feedback stability for a simplified model of fluid-structure interaction on a tree. We prove that, under some conditions, the energy of the solutions of the 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.