On exact controllability for the Navier-Stokes equations

Imanuvilov, 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 -