Analysis of optimal control problems for the 2-D stationary Boussinesq equations

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.