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

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

We consider the controllability of a viscous incompressible fluid modeled by the Navier–Stokes system with a nonlinear viscosity. To prove the controllability to trajectories, we linearize around a trajectory and the corresponding linear system includes a nonlocal spatial term. Our main result is a Carleman estimate for the adjoint of …