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

Abstract

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 first put into an appropriate mathematical formulation. Then the existence of optimal solutions is proved. The use of Lagrange multiplier techniques is justified and an optimality system of equations is derived. © 2000 Academic Press.