Normal Feedback Stabilization of Periodic Flows in a Two-Dimensional Channel

Ionuţ Munteanu ()
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Ionuţ Munteanu: “O. Mayer” Institute of Mathematics of the Romanian Academy

Journal of Optimization Theory and Applications, 2012, vol. 152, issue 2, No 8, 413-438

Abstract: Abstract We consider a two-dimensional incompressible channel flow with periodic condition along one axis. We stabilize the linearized system by a boundary feedback controller with vertical velocity observation, which acts on the normal component of the velocity only. The stability is achieved without any a priori condition on the viscosity coefficient, that is, on the Reynolds number.

Keywords: Navier–Stokes equations; Fourier decomposition; Analytic C 0-semigroups; Feedback controller (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-011-9910-7

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