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

Abstract

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 R3. Additionally, we use the first derivative of the considered functional to establish the necessary condition of the optimality for the optimal solution.

Keywords

• non-linear optimal control
• stratified fluids
• energy functional
• optimal condition
• state variable