Feedback stabilization of Navier–Stokes equations
Department of Mathematics,
“Al.I. Cuza" University, 6600 Iasi, Romania;
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