Analysis of Optimal Control Problems for the 2-D Stationary Boussinesq Equations1

This paper deals with optimal control problems associated with the 2-D Boussinesq equations. The controls considered may be of either the distributed or the Neumann type. These problems are rst put into an appropriate mathematical formulation. Then the existence of optimal solutions is proved. The use of Lagrange multiplier techniques is justi ed and an optimality system of equations is derived.