Date & Time: Friday, February 07, 2014, 15:00-16:00.
Venue: Room 216
Speaker: Jean-Pierre Raymond, Institut de Mathématiques de Toulouse
Title: Feedback stabilization of the Navier-Stokes equations in the case of partial information
Abstract: We shall address the problem of stabilizing the incompressible Navier-Stokes equations about an unstable stationary solution by boundary controls, in the case of partial information coming from boundary measurements, and with mixed boundary conditions. The presence of mixed boundary conditions in domains with corners makes the analysis of the Navier-Stokes equations trickier. The boundary measurements, typically pressure measurements, are also a new source of difficulty when we want to estimate the velocity fields. We prove that we can couple an estimator and a feedback control law in order to stabilize locally the full nonlinear system.