An optimal control problem for the Navier-Stokes-$\alpha$ system

Exequiel Mallea-Zepeda, Elva Ortega-Torres, Élder J. Villamizar-Roa

In this paper we study a distributed optimal control problem for a three-dimensional Navier-Stokes-$\alpha$ model. We prove the solvability of the optimal control problem, and derive fi…