Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-27T21:59:46.626Z Has data issue: false hasContentIssue false
  • English
  • Français

On exact controllability for the Navier-Stokes equations

Published online by Cambridge University Press:  15 August 2002

O. Yu. Imanuvilov
O. Yu. Imanuvilov*
Affiliation:
([email protected])
Get access

Abstract

We study the local exact controllability problem for the Navier-Stokes equations that describe an incompressible fluid flow in abounded domain with control distributed in an arbitrary fixed subdomain. The result that we obtain in this paper is as follows.Suppose that we have a given stationary point of the Navier-Stokes equations and our initial condition is sufficiently close to it. Thenthere exists a locally distributed control such that in a given moment of time the solution of the Navier-Stokes equations coincideswith this stationary point.

Keywords

Locally distributed controlNavier-Stokes equations.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 3 , 1998 , pp. 97 - 131
Copyright
© EDP Sciences, SMAI, 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)