Controllability of a Fluid-Structure Interaction System Governed by the Heat and Damped Beam Equations
Analysis of PDEs
2025-06-23 v1
Abstract
In this article, we study the null-controllability and observability properties of a bi-dimensio\-nal 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.
Keywords
Cite
@article{arxiv.2506.16880,
title = {Controllability of a Fluid-Structure Interaction System Governed by the Heat and Damped Beam Equations},
author = {Mehdi Badra and Jérémi Dardé and Emmanuel Zongo},
journal= {arXiv preprint arXiv:2506.16880},
year = {2025}
}