Asymptotic Stabilizability by Stationary Feedback of the Two-Dimensional Euler Equation: The Multiconnected Case

@article{Glass2005AsymptoticSB,
  title={Asymptotic Stabilizability by Stationary Feedback of the Two-Dimensional Euler Equation: The Multiconnected Case},
  author={Olivier Glass},
  journal={SIAM J. Control and Optimization},
  year={2005},
  volume={44},
  pages={1105-1147}
}
We construct a feedback law which allows us to asymptotically stabilize the Euler system for incompressible inviscid fluids in two dimensions, in the case of a multiconnected bounded domain, by means of a control localized on a part of the boundary that meets every connected component of the boundary. This generalizes a result of Coron [{SIAM J. Control Optim., 37 (1999), pp. 1874--1896] concerning simply connected domains. 

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