27 citations · 60 across the 21 of their papers we have counts for
4 papers · 1 filter
Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations
Karine Beauchard, Frédéric Marbach
We consider scalar-input control systems in the vicinity of an equilibrium, at which the linearized systems are not controllable. For finite dimensional control systems, the author…
High frequency analysis of the unsteady Interactive Boundary Layer model
Anne-Laure Dalibard, Helge Dietert, David Gérard-Varet +1
The present paper is about a famous extension of the Prandtl equation, the so-called Interactive Boundary Layer model (IBL). This model has been used intensively in the numerics of…
Quadratic obstructions to small-time local controllability for scalar-input differential systems
Karine Beauchard, Frédéric Marbach
We consider nonlinear scalar-input differential control systems in the vicinity of an equilibrium. When the linearized system at the equilibrium is controllable, the nonlinear syst…
On the controllability of the Navier-Stokes equation in spite of boundary layers
Jean-Michel Coron, Frédéric Marbach, Franck Sueur
In this proceeding we expose a particular case of a recent result obtained by the authors regarding the incompressible Navier-Stokes equations in a smooth bounded and simply connec…