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arXiv · 1512.09261

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

Kaïs Ammari·Farhat Shel·Muthusamy Vanninathan
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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.

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Kaïs Ammari, Farhat Shel, Muthusamy Vanninathan. 2015-12-31. Feedback stabilization of a simplified model of fluid-structure interaction on a tree. https://arxiv.org/abs/1512.09261

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