理学

Controllability of fluid flows

主讲人简介:法国凡尔赛大学教授、博士生导师
  内容摘要: This presentation will give an overview  on the controllability for fluid flows. There will be no technical  proof.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, in  particular the case of what is called Lagrangian control and which might  lead to a lot of developments.Finally, we will present a first result  of controllability for the case of a compressible fluid (in dimension 1)  and some important open problems.

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