| Issue |
ESAIM: COCV
Volume 9, February 2003
|
|
|---|---|---|
| Page(s) | 197 - 205 | |
| DOI | https://doi.org/10.1051/cocv:2003009 | |
| Published online | 15 September 2003 | |
Feedback stabilization of Navier–Stokes equations
Department of Mathematics,
“Al.I. Cuza" University, 6600 Iasi, Romania;
barbu@uaic.ro.
Received:
14
July
2002
Revised:
25
November
2002
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.
Mathematics Subject Classification: 76D05 / 76D55 / 35B40 / 35Q30
Key words: Navier–Stokes system / Riccati equation / linearized system / steady-state solution / weak solution.
© EDP Sciences, SMAI, 2003
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