05-232 Armen Shirikyan

Approximate controllability of three-dimensional Navier-Stokes equations (264K, Postscript) Jun 30, 05

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Abstract. The paper is devoted to studying the problem of controllability for 3D Navier-Stokes equations in a bounded domain. We develop the method introduced by Agrachev and Sarychev in the 2D case and establish a sufficient condition under which the problem in question is approximately controllable by a finite-dimensional force. In the particular case of a torus, it is shown that our sufficient condition is fulfilled for a control of low dimensio

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