Null controllability in a fluid-solid structure model
type: Item
instance of: scholarly article
title: Null controllability in a fluid-solid structure model
zbMATH Open document ID: 1226.93030
published in: Journal of Differential Equations
publication date: 2010-03-29T00:00:00Z
review text: The authors investigate a system coupling the Stokes equations in a two-dimensional domain with a structure equation, which is a system of ordinary differential equations corresponding to a finite dimensional approximation of equations modeling deformations of an elastic body or vibrations of a rigid body. For that system, they establish a null controllability result for localized distributed controls acting only in the fluid equations and there is no control in the solid part. This controllability result follows from a Carleman inequality that the authors prove for the adjoint system.
reviewed by: Ömer Kavaklioglu
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35-02
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76D55
zbMATH DE Number: 5687484
zbMATH Keywords: Stokes equations
zbMATH Keywords: systems of ordinary differential equations
zbMATH Keywords: modeling deformations of an elastic body
zbMATH Keywords: finite dimensional approximation
zbMATH Keywords: Carleman inequality
zbMATH Keywords: null controllability
zbMATH Keywords: adjoint system
author: J-P Raymond
author: Muthusamy Vanninathan
MaRDI profile type: Publication
full work available at URL: j.jde.2009.09.015
OpenAlex ID: W2090432161
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DOI: 10.1016/J.JDE.2009.09.015
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description: scientific article; zbMATH DE number 5687484