Boundary optimal control of time-periodic Stokes-Oseen flows
type: Item
instance of: scholarly article
title: Boundary optimal control of time-periodic Stokes-Oseen flows
zbMATH Open document ID: 1306.49007
published in: Journal of Optimization Theory and Applications
publication date: 2013-02-11T00:00:00Z
review text: This paper builds on techniques previously developed by Barbu, Lasiecka and Triggiani and, under certain assumptions, presents the existence of optimal solutions and a maximum principle for a problem of optimization whose constraints are governed by time-periodic Stokes-Oseen equations with boundary control. In general, the problem has potentially important applications such as studying the flow occurring in the presence of swimming microorganisms, the flow of lava, paint technology or the flow of viscous polymers. The assumed conditions for the existence of optimal solutions are verified in the case of a plane periodic laminar flow in a two dimensional channel. The paper is well written with clear arguments and as such it not only develops an important direction of research in fluid dynamics but it also constitutes a good didactic material.
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 6135501
zbMATH Keywords: optimal control
zbMATH Keywords: Stokes-Oseen equations
zbMATH Keywords: periodic boundary control
zbMATH Keywords: maximum principle
author: Hanbing Liu
MaRDI profile type: Publication
full work available at URL: s10957-012-0026-5
OpenAlex ID: W1970037674
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DOI: 10.1007/S10957-012-0026-5
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description: scientific article; zbMATH DE number 6135501