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Feedback stabilization of Navier–Stokes equations

Published online by Cambridge University Press:  15 September 2003

Viorel Barbu
Viorel Barbu*
Affiliation:
Department of Mathematics, “Al.I. Cuza" University, 6600 Iasi, Romania; barbu@uaic.ro.
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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.

Keywords

Navier–Stokes systemRiccati equationlinearized systemsteady-state solutionweak solution.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003 , pp. 197 - 205
Copyright
© EDP Sciences, SMAI, 2003

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