Abstract | In this series of lectures, we will talk about Agrachev–Sarychev method which is introduced in 2005 for the study of Navier-Stokes control problems. Different from the classical linearization method, the essential point of this approach is on the use of nonlinear terms, which allows us to get global controllability results. This approach has been adapted to various models, including Navier-Stokes equations, Euler equations, nonlinear parabolic equations etc. |