# On exact controllability for the Navier-Stokes equations

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 3, page 97-131
- ISSN: 1292-8119

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topImanuvilov, O. Yu.. "On exact controllability for the Navier-Stokes equations." ESAIM: Control, Optimisation and Calculus of Variations 3 (2010): 97-131. <http://eudml.org/doc/197299>.

@article{Imanuvilov2010,

abstract = {
We study the local exact controllability problem for the Navier-Stokes equations that describe an incompressible fluid flow in a
bounded 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. Then
there exists a locally distributed control such that in a given moment of time the solution of the Navier-Stokes equations coincides
with this stationary point.
},

author = {Imanuvilov, O. Yu.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Locally distributed control; Navier-Stokes equations.; locally distributed control},

language = {eng},

month = {3},

pages = {97-131},

publisher = {EDP Sciences},

title = {On exact controllability for the Navier-Stokes equations},

url = {http://eudml.org/doc/197299},

volume = {3},

year = {2010},

}

TY - JOUR

AU - Imanuvilov, O. Yu.

TI - On exact controllability for the Navier-Stokes equations

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 3

SP - 97

EP - 131

AB -
We study the local exact controllability problem for the Navier-Stokes equations that describe an incompressible fluid flow in a
bounded 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. Then
there exists a locally distributed control such that in a given moment of time the solution of the Navier-Stokes equations coincides
with this stationary point.

LA - eng

KW - Locally distributed control; Navier-Stokes equations.; locally distributed control

UR - http://eudml.org/doc/197299

ER -

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