


Lagrangian controllability for the 3D NavierStokes equations



Description: 
In the Eulerian approach, the motion of an incompressible fluid is usually described by the velocity field which is given by the NavierStokes system. The velocity field generates a flow in the space of volumepreserving diffeomorphisms. The latter plays a central role in the Lagrangian description of a fluid, since it allows to identify the trajectories of the individual particles. In this talk, I will show that the velocity field of the fluid and the corresponding flow of diffeomorphisms can be simultaneously approximately controlled using a finitedimensional external force. The proof is based on some methods from the geometric control theory introduced by Agrachev and Sarychev.

Date: 
20170927

Start Time: 
14:00 
Speaker: 
Vahagn Nersesyan (Univ. Versailles, France)

Institution: 
University of Versailles, France

Place: 
Sala 5.5

Research Groups: 
Analysis

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