Optimization problems for the Navier-Stokes equations with regular boundary controls
type: Item
instance of: scholarly article
title: Optimization problems for the Navier-Stokes equations with regular boundary controls
zbMATH Open document ID: 0802.49001
author: L. Hou
author: Thomas P. Svobodny
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-01-03T00:00:00Z
review text: This paper deals with questions related to optimal boundary control (with regular controls) for problems governed by the steady Navier-Stokes equations. Here the control is the prescription of the velocity on the boundary (or part of the boundary) of the flow domain. The authors study necessary conditions for an optimal control and justify the use of the Lagrange multiplier rule to derive necessary conditions for optimality. They also study the regularity of the solutions of the optimality system and give some examples of specific optimization problems.
reviewed by: A. J. Meir
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 480446
zbMATH Keywords: optimal boundary control
zbMATH Keywords: Navier-Stokes equations
MaRDI profile type: Publication
full work available at URL: jmaa.1993.1262
OpenAlex ID: W2105906383
DOI: 10.1006/JMAA.1993.1262
description: scientific article; zbMATH DE number 480446