Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals
type: Item
instance of: scholarly article
title: Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals
zbMATH Open document ID: 1264.35261
author: Qilong Gu
author: Tatsien Li
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2013-02-18T00:00:00Z
review text: The paper is devoted to the problem of exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals. First, the authors present the result on exact boundary controllability for one-dimensional quasilinear hyperbolic systems and apply it to the problem of unsteady flows in an open canal. Then, they consider the star-like network of open canals and adduce both known and new results. The latter are used in the final section where the authors establish the exact boundary controllability of nodal profile on tree-like network of open canals with general topology. The principles of providing the nodal profiles, of choosing the boundary controls and of transferring the boundary control are also presented.
Mathematics Subject Classification ID: 35Q93
Mathematics Subject Classification ID: 35L50
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6136923
zbMATH Keywords: Saint-Venant system
zbMATH Keywords: quasilinear hyperbolic systems
reviewed by: Vyacheslav I. Maksimov
MaRDI profile type: Publication
full work available at URL: j.matpur.2012.06.004
OpenAlex ID: W2060496933
DOI: 10.1016/J.MATPUR.2012.06.004
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description: scientific article; zbMATH DE number 6136923