Enrique Fernandez Cara - Universidad de Sevilla (Sevilha, Espanha)

Título:

Controlling fluids: some motivations and results.

Resumo:

The Navier-Stokes equations have been studied since many years. They are very relevant in mathematics and physics and many people have been concerned with the solution of several related major open problems. On the other hand, the control of PDEs has attracted a lot of work the last decades. This has been motivated by its relevant role in applications. This talk is devoted to present some recent results dealing with the control of systems of the Navier-Stokes kind. We will consider some (new) optimal control and controllability problems and we will discuss theoretical and numerical aspects. In particular, we will deal with bi-objective and hierarchical control problems, global approximate controllability and related questions.