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March  2006, 5(1): 201-211. doi: 10.3934/cpaa.2006.5.201

Controllability of couette flows

Michael Schmidt 1, and  Emmanuel Trélat 2,

1. 

Institut für Mathematik, MA 4-5, Technische Universität Berlin, 10623 Berlin, Germany
2. 

Mathématique, Analyse Numérique et EDP, Université Paris-Sud, Bâtiment 425, 91405 Orsay Cedex, France

Received  March 2005 Revised  October 2005 Published  December 2005

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: partial differential equations., Navier-Stokes equations, controllability, Couette flows.
Mathematics Subject Classification: Primary: 76D55, 93B05; Secondary: 76D05, 93C2.
Citation: Michael Schmidt, Emmanuel Trélat. Controllability of couette flows. Communications on Pure & Applied Analysis, 2006, 5 (1) : 201-211. doi: 10.3934/cpaa.2006.5.201
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