Armen Shirikyan
Approximate controllability of three-dimensional Navier-Stokes equations
(264K, Postscript)

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