Asymptotics of solutions to the optimal control problem for time-indepentent Navier-Stokes equations
type: Item
instance of: scholarly article
title: Asymptotics of solutions to the optimal control problem for time-indepentent Navier-Stokes equations
zbMATH Open document ID: 1029.35196
author: A. A. Illarionov
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-07-01T00:00:00Z
review text: The paper deals with an optimal boundary control problem for the Navier- Stokes equations describing a steady homogeneous inviscid incompressible flow. The total pressure on a portion \(\Gamma_1\) of the flow boundary is used as a control. The velocity components tangent to \(\Gamma_1\) are assumed to vanish on \(\Gamma_1\), and the o-slip condition is set on the remaining boundary. It is shown that the solution to this problem can be approximated by solutions to optimal control problems for the Stokes system.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 76D55
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 1940631
zbMATH Keywords: optimal boundary control problem
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: inviscid incompressible flow
zbMATH Keywords: pressure
zbMATH Keywords: velocity
zbMATH Keywords: vorticity
zbMATH Keywords: extremum condition
zbMATH Keywords: solution
zbMATH Keywords: Stokes system
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1940631