Normal Feedback Stabilization of Periodic Flows in a Three-Dimensional Channel |
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Authors: | Ionu? Munteanu |
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Institution: | 1. Department of Mathematics , “Octav Mayer” Institute of Mathematics (Romanian Academy), Ia?i, Romania and “Alexandru Ioan Cuza” University , Ia?i , Romania ionutmunteanu23@yahoo.com |
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Abstract: | We present an extension from two dimensions to three dimensions of a boundary control law, which stabilizes the parabolic profile of an infinite channel flow. The controller 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 Reynolds number. |
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Keywords: | Analytic C 0-semigroups Feedback controller Fourier decomposition Navier-Stokes equations |
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