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<p>In this article, we study the null-controllability and observability properties of a fluid–structure interaction system, governed by the heat equation coupled with the damped beam equation. To do so, we prove a global Carleman estimate for the coupled system, making explicit the dependence on the damping parameter. In the course of the study, we demonstrate several inequalities for the beam equation alone, valid for different damping parameter regimes.</p>

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Controllability of a fluid–structure interaction system governed by the heat and damped beam equations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月24日

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  • Mehdi Badra,
  • Jérémi Dardé,
  • Emmanuel Zongo

摘要

In this article, we study the null-controllability and observability properties of a fluid–structure interaction system, governed by the heat equation coupled with the damped beam equation. To do so, we prove a global Carleman estimate for the coupled system, making explicit the dependence on the damping parameter. In the course of the study, we demonstrate several inequalities for the beam equation alone, valid for different damping parameter regimes.