Optimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids.

In this paper, we investigate the existence of an optimal solution of a functional restricted to non-linear partial differential equations, which ruled the dynamics of viscous and incompressible stratified fluids in R 3 . Additionally, we use the first derivative of the considered functional to establish the necessary condition of the optimality for the optimal solution. [ABSTRACT FROM AUTHOR]