2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116510The dynamic programming approach for the control of a 3D flow governed by the stochastic Navier-Stokes equations for incompressible fluid in a bounded domain is studied. By a compactness argument, existence of solutions for the associated Hamilton-Jacobi-Bellman equation is proved. Finally, existence of an optimal control through the feedback formula and of an optimal state is discussed.18 pagesOptimization and ControlProbability76D05; 76D55; 49L20On the dynamic programming approach for the 3D Navier-Stokes equationstext