Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid

We consider the controllability of a viscous incompressible fluid modeled by Navier–Stokes system with nonlinear viscosity. To prove to trajectories, we linearize around trajectory and corresponding linear includes nonlocal spatial term. Our main result is Carleman estimate for adjoint this system. This yields in standard way null local trajectories. method obtain completely general can be adapted other parabolic systems when available.