Jean-Pierre Puel 氏 (Université de Versailles Saint-Quentin-en-Yvelines)
『 Controllability of fluid flows 』

First of all we will describe in an abstract situation the various concepts of controllability for evolution equations.
We will then present some problems and results concerning the controllability of systems modeling fluid flows.
First of all we will consider the Euler equation describing the motion of an incompressible inviscid fluid.
Then we will give some results concerning the Navier-Stokes equations, modeling an incompressible viscous fluid, and some related systems.
Finally we will give a first result of controllability for the case of a compressible fluid (in dimension 1) and some important open problems.