Stabilization of a fluid-rigid body system
type: Item
instance of: scholarly article
title: Stabilization of a fluid-rigid body system
zbMATH Open document ID: 1328.35182
author: Takéo Takahashi
author: Marius Tucsnak
author: George Weiss
published in: Journal of Differential Equations
publication date: 2015-09-22T00:00:00Z
review text: The authors consider the motion of a rigid ball inside an incompressible viscous fluid occupying a domain \(\Omega\subset \mathbb R^3\). An external force is acting on the ball as a spring, with additional damping, connecting the center \(h(t)\) of the ball to a fixed point \(h_1\in\Omega\). They prove that if the initial velocity of the fluid is small together with the distance \(\|h(t)-h_1\|\), the model admits a global unique solution. They finally study related control problems associated to the feedback associated to \(h\).
reviewed by: Bernard Ducomet
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D03
zbMATH DE Number: 6484244
zbMATH Keywords: fluid-structure interaction
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: PD controler
zbMATH Keywords: global solutions
zbMATH Keywords: asymptotic stability
zbMATH Keywords: switching feedback
MaRDI profile type: Publication
full work available at URL: j.jde.2015.07.024
OpenAlex ID: W1085003917
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DOI: 10.1016/J.JDE.2015.07.024
description: scientific article; zbMATH DE number 6484244