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Preprint 12-2005

Controllability of Couette flows

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Author(s) : Michael Schmidt , Emmanuel Trélat

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 12-2005

MSC 2000

76D55 Flow control and optimization
93B05 Controllability


Abstract :
In this article, we investigate the problem of controlling Navier-Stokes equations between two infinite rotating coaxial cylinders. We prove that it is possible to move from a given Couette flow, that is a special stationary solution, to another one, by controlling the rotation velocity of the outer cylinder.

Keywords : Navier-Stokes equations, controllability, Couette flows, partial differential equations

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