Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
type: Item
instance of: scholarly article
title: Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
zbMATH Open document ID: 1064.93008
published in: Journal of Differential Equations
publication date: 2004-11-23T00:00:00Z
review text: The paper considers a coupled (via interaction through the joint boundary) 1D system of the heat and wave equation. In the first part of the paper the spectral analysis of the system is given and on its basis sharp polynomial decay rates for the whole energy are obtained. In the second part the null-controllability of the system when the control acts on the boundary of the domain where the heat equation holds is analyzed.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 2117820
zbMATH Keywords: Fluid-structure system
zbMATH Keywords: Polynomial decay
zbMATH Keywords: Boundary control and observability
zbMATH Keywords: Null-controllability
author: Xu Zhang
author: Enrique Zuazua
reviewed by: Uldis Raitums
MaRDI profile type: Publication
full work available at URL: j.jde.2004.02.004
OpenAlex ID: W2087203848
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DOI: 10.1016/J.JDE.2004.02.004
description: scientific article; zbMATH DE number 2117820