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.
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Communicated by Viorel Barbu.
The author gratefully acknowledge the support of the project POSDRU/88/1.5/S/47646, cofinantiated by the European Social Found, the Operational Sectorial Programme Development of Human Resources 2007-2013 and by CNCSIS project PN II IDEI ID 70/2008.
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Munteanu, I. Normal Feedback Stabilization of Periodic Flows in a Two-Dimensional Channel. J Optim Theory Appl 152, 413–438 (2012). https://doi.org/10.1007/s10957-011-9910-7
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DOI: https://doi.org/10.1007/s10957-011-9910-7