Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations

@article{Raymond2006FeedbackBS,
  title={Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations},
  author={Jean-Pierre Raymond},
  journal={SIAM J. Control and Optimization},
  year={2006},
  volume={45},
  pages={790-828}
}
We study the exponential stabilization of the linearized Navier-Stokes equations around an unstable stationary solution, by means of a feedback boundary control, in dimension 2 or 3. The feedback law is determined by solving a Linear-Quadratic control problem. We do not assume that the normal component of the control is equal to zero. In that case the state… CONTINUE READING

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