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

2015/12/31 by Kaïs Ammari, Ammari, Kaïs, Farhat Shel +3 · 1 citation
Computer Science · Engineering · Mathematics · #35B40 #35L05 #93D15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods for differential equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1512.09261

openalex publication_date 2015/12/31 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper we study the dynamic feedback stability for a simplified model\nof fluid-structure interaction on a tree. We prove that, under some conditions,\nthe energy of the solutions of the system decay exponentially to zero when the\ntime tends to infinity. Our technique is based on a frequency domain method and\na special analysis for the resolvent.\n

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