M. Chapouly, On the global null controllability of a Navier???Stokes system with Navier slip boundary conditions, Journal of Differential Equations, vol.247, issue.7, pp.2094-2123, 2009.
DOI : 10.1016/j.jde.2009.06.022

J. Coron, Contrôlabilité exactefrontì ere de l'´ equation d'Euler des fluides parfaits incompressibles bidimensionnels, C. R. Acad. Sci. Paris Sér. I Math, vol.317, issue.3, pp.271-276, 1993.

J. Coron, On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions, ESAIM: Control, Optimisation and Calculus of Variations, vol.1, pp.35-7596, 1995.
DOI : 10.1051/cocv:1996102

J. Coron, On the controllability of 2-D incompressible perfect fluids, J. Math. Pures Appl, vol.75, issue.92, pp.155-188, 1996.

J. Coron and A. Fursikov, Global exact controllability of the 2D Navier- Stokes equations on a manifold without boundary, Russian J. Math. Phys, vol.4, issue.4, pp.429-448, 1996.

J. Coron, F. Marbach, and F. Sueur, Small time global exact null controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions

E. Fernández-cara, S. Guerrero, O. Imanuvilov, and J. Puel, Local exact controllability of the Navier???Stokes system, Journal de Math??matiques Pures et Appliqu??es, vol.83, issue.12, pp.831501-1542, 2004.
DOI : 10.1016/j.matpur.2004.02.010

A. Fursikov and O. Imanuilov, Exact controllability of the Navier-Stokes and Boussinesq equations, Uspekhi Mat. Nauk, pp.93-146, 1999.
DOI : 10.1070/RM1999v054n03ABEH000153

O. Glass, Contr??labilit?? exacte fronti??re de l'??quation d'Euler des fluides parfaits incompressibles en dimension 3, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.325, issue.9, pp.987-992, 1997.
DOI : 10.1016/S0764-4442(97)89091-X

O. Glass, Exact boundary controllability of 3-D??Euler??equation, ESAIM: Control, Optimisation and Calculus of Variations, vol.5, pp.1-44, 2000.
DOI : 10.1051/cocv:2000100
URL : http://www.numdam.org/article/COCV_2000__5__1_0.pdf

O. Glass and T. Horsin, Approximate Lagrangian controllability for the 2-D Euler equation. Application to the control of the shape of vortex patches, Journal de Math??matiques Pures et Appliqu??es, vol.93, issue.1, pp.61-90, 2010.
DOI : 10.1016/j.matpur.2009.08.006
URL : https://hal.archives-ouvertes.fr/hal-00660790

O. Glass and T. Horsin, Prescribing the Motion of a Set of Particles in a Three-Dimensional Perfect Fluid, SIAM Journal on Control and Optimization, vol.50, issue.5, pp.2726-2742, 2012.
DOI : 10.1137/110845744

O. Glass and T. Horsin, Lagrangian controllability at low Reynolds number. ArXiv e-prints, 2016.
DOI : 10.1051/cocv/2016032
URL : https://hal.archives-ouvertes.fr/hal-01424530

S. Guerrero, Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions, ESAIM: Control, Optimisation and Calculus of Variations, vol.12, issue.3, pp.484-544, 2006.
DOI : 10.1051/cocv:2006006
URL : https://hal.archives-ouvertes.fr/hal-00112388

S. Guerrero, O. Imanuvilov, and J. Puel, A result concerning the global approximate controllability of the Navier???Stokes system in dimension 3, Journal de Math??matiques Pures et Appliqu??es, vol.98, issue.6, pp.98689-709, 2012.
DOI : 10.1016/j.matpur.2012.05.008

T. Havârneanu, S. Popa, and . Sritharan, Exact internal controllability for the two-dimensional Navier???Stokes equations with the Navier slip boundary conditions, Systems & Control Letters, vol.55, issue.12, pp.1022-1028, 2006.
DOI : 10.1016/j.sysconle.2006.06.015

D. Iftimie and F. Sueur, Viscous boundary layers for the Navier???Stokes equations with the Navier slip conditions, Archive for Rational Mechanics and Analysis, vol.38, issue.1, pp.145-175, 2011.
DOI : 10.1007/s00205-010-0320-z
URL : https://hal.archives-ouvertes.fr/hal-00865912

O. Imanuvilov, Remarks on exact controllability for the Navier-Stokes equations, ESAIM: Control, Optimisation and Calculus of Variations, vol.6, pp.39-72, 2001.
DOI : 10.1051/cocv:2001103

A. V. Fursikov and O. Y. Imanuvilov, Controllability of evolution equations. Lecture Notes Series, 1996.

G. Lebeau and L. Robbiano, Contr??le Exact De L??quation De La Chaleur, Communications in Partial Differential Equations, vol.52, issue.1-2, pp.335-356, 1995.
DOI : 10.1016/0022-0396(87)90043-X

J. Leray, Essai sur les mouvements plans d?un fluide visqueux que limitent des parois, J. Math. Pures Appl, issue.13, pp.331-418, 1934.

J. Lions, Exact Controllability for Distributed Systems. Some Trends and Some Problems, Applied and industrial mathematics, pp.59-84, 1989.
DOI : 10.1007/978-94-009-1908-2_7

Y. Maekawa and A. Mazzucato, The Inviscid Limit and Boundary Layers for Navier-Stokes Flows. ArXiv e-prints, 2016.

F. Marbach, Small time global null controllability for a viscous Burgers' equation despite the presence of a boundary layer, Journal de Math??matiques Pures et Appliqu??es, vol.102, issue.2, pp.364-384, 2014.
DOI : 10.1016/j.matpur.2013.11.013
URL : https://hal.archives-ouvertes.fr/hal-00776508

N. Masmoudi and F. Rousset, Uniform Regularity for the Navier???Stokes Equation with Navier Boundary Condition, Archive for Rational Mechanics and Analysis, vol.60, issue.7, pp.529-575, 2012.
DOI : 10.1007/s00205-011-0456-5
URL : https://hal.archives-ouvertes.fr/hal-00673262

C. Navier, Mémoire sur les lois du mouvement des fluides. Mémoires de l'Académie Royale des Sciences de l, pp.389-440, 1823.

J. Coron, UMR CNRS 7598; e-mail: coron@ann.jussieu.fr, Frédéric Marbach Jacques- Louis Lions, UMR CNRS 7598; e-mail: marbach@ann.jussieu.fr, Franck Sueur