NULL CONTROLLABILITY OF THE INCOMPRESSIBLE STOKES EQUATIONS IN A 2-D CHANNEL USING NORMAL BOUNDARY CONTROL

In this paper, we consider the Stokes equations in a two-dimensional channel with periodic conditions in the direction of the channel. We establish null controllability of this system using a boundary control which acts on the normal component of the velocity only. We show null controllability of the system, subject to a constraint of zero average, by proving an observability inequality with the help of a Muntz-Szasz Theorem