Geodesic
Feedback stabilization of Navier-Stokes equations
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 197-205

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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.

DOI : 10.1051/cocv:2003009
Classification : 76D05, 76D55, 35B40, 35Q30
Keywords: Navier-Stokes system, Riccati equation, linearized system, steady-state solution, weak solution 
@article{COCV_2003__9__197_0,
     author = {Barbu, Viorel},
     title = {Feedback stabilization of {Navier-Stokes} equations},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {197--205},
     publisher = {EDP-Sciences},
     volume = {9},
     year = {2003},
     doi = {10.1051/cocv:2003009},
     zbl = {1076.93037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003009/}
}
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Barbu, Viorel. Feedback stabilization of Navier-Stokes equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 197-205. doi: 10.1051/cocv:2003009

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