Hc. Lee et Oy. Imanuvilov, Analysis of Neumann boundary optimal control problems for the stationary Boussinesq equations including solid media, SIAM J CON, 39(2), 2000, pp. 457-477
This article deals with Neumann boundary optimal control problems associate
d with the Boussinesq equations including solid media. These problems are r
st put into an appropriate mathematical formulation. Then the existence of
optimal solutions is proved. The use of Lagrange multiplier techniques is j
ustified and an optimality system of equations is derived.