This paper deals with optimal control problems associated with the 2-D Bous
sinesq equations. The controls considered may be of either the distributed
or the Neumann type. These problems are first put into an appropriate mathe
matical formulation. Then the existence of optimal solutions is proved. The
use of Lagrange multiplier techniques is justified and an optimality syste
m of equations is derived. (C) 200 Academic Press.