# Feedback stabilization of Navier–Stokes equations

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

- Volume: 9, page 197-205
- ISSN: 1292-8119

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topBarbu, Viorel. "Feedback stabilization of Navier–Stokes equations." ESAIM: Control, Optimisation and Calculus of Variations 9 (2010): 197-205. <http://eudml.org/doc/90689>.

@article{Barbu2010,

abstract = {
One proves that the steady-state solutions to Navier–Stokes
equations with internal controllers are locally exponentially stabilizable by linear feedback controllers
provided by a LQ control problem associated with the linearized equation.
},

author = {Barbu, Viorel},

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

keywords = {Navier–Stokes system; Riccati equation; linearized system;
steady-state solution; weak solution.; Navier-Stokes system; steady-state solution; weak solution},

language = {eng},

month = {3},

pages = {197-205},

publisher = {EDP Sciences},

title = {Feedback stabilization of Navier–Stokes equations},

url = {http://eudml.org/doc/90689},

volume = {9},

year = {2010},

}

TY - JOUR

AU - Barbu, Viorel

TI - Feedback stabilization of Navier–Stokes equations

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 9

SP - 197

EP - 205

AB -
One proves that the steady-state solutions to Navier–Stokes
equations with internal controllers are locally exponentially stabilizable by linear feedback controllers
provided by a LQ control problem associated with the linearized equation.

LA - eng

KW - Navier–Stokes system; Riccati equation; linearized system;
steady-state solution; weak solution.; Navier-Stokes system; steady-state solution; weak solution

UR - http://eudml.org/doc/90689

ER -

## References

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