Global controllability to trajectories for the viscous Burgers equation and applications * CANCELLED *

02/26/2016 - 13:30
02/26/2016 - 14:30
Speaker: 
Armen Shirikyan , Cergy-Pontoise
Location: 
McGill University, Burnside 920, 805 Sherbrooke West - McGill University
Abstract: 
 
We study the problem of global controllability by an external force for the viscous Burgers equation on a bounded interval. Assuming that the force is localised in space, we prove that any non-stationary trajectory can be exponentially stabilised. We next discuss various consequences of this result, such as global exact controllability to trajectories, approximate controllability by a localised two-dimensional control, and mixing for the stochastic Burgers equation.

 

Last edited by on Tue, 02/23/2016 - 10:08