@article{AIHPC_2007__24_4_521_0, author = {Shirikyan, Armen}, title = {Exact controllability in projections for three-dimensional Navier-Stokes equations}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {24}, year = {2007}, pages = {521-537}, doi = {10.1016/j.anihpc.2006.04.002}, zbl = {1119.93021}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2007__24_4_521_0} }
Shirikyan, Armen. Exact controllability in projections for three-dimensional Navier-Stokes equations. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) pp. 521-537. doi : 10.1016/j.anihpc.2006.04.002. http://gdmltest.u-ga.fr/item/AIHPC_2007__24_4_521_0/
[1] Navier-Stokes equations: controllability by means of low modes forcing, J. Math. Fluid Mech. 7 (2005) 108-152. | Zbl 1075.93014
, ,[2] A.A. Agrachev, A.V Sarychev, Controllability of 2D Euler and Navier-Stokes equations by degenerate forcing, Comm. Math. Phys. (2006), in press. | Zbl 1105.93008
[3] Flow invariance preserving feedback controllers for the Navier-Stokes equation, J. Math. Anal. Appl. 255 (2001) 281-307. | Zbl 1073.93030
, ,[4] Internal stabilization of Navier-Stokes equations with finite-dimensional controllers, Indiana Univ. Math. J. 53 (2004) 1443-1494. | Zbl 1073.76017
, ,[5] On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions, ESAIM Control Optim. Calc. Var. 1 (1995/96) 35-75, (electronic). | Numdam | Zbl 0872.93040
,[6] On the controllability of 2-D incompressible perfect fluids, J. Math. Pures Appl. 75 (1996) 155-188. | MR 1380673 | Zbl 0848.76013
,[7] Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary, Russian J. Math. Phys. 4 (1996) 429-448. | Zbl 0938.93030
, ,[8] On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain, SIAM J. Control Optim. 37 (1999) 1874-1896, (electronic). | MR 1720143 | Zbl 0954.76010
,[9] On the approximate and null controllability of the Navier-Stokes equations, SIAM Rev. 41 (1999) 269-277, (electronic). | Zbl 0945.93017
,[10] Exact boundary zero controllability of three-dimensional Navier-Stokes equations, J. Dynam. Control Systems 1 (1995) 325-350. | Zbl 0951.93005
,[11] Exact controllability of the Navier-Stokes and Boussinesq equations, Russian Math. Surveys 54 (1999) 565-618. | Zbl 0970.35116
, ,[12] Stabilizability of two-dimensional Navier-Stokes equations with help of a boundary feedback control, J. Math. Fluid Mech. 3 (2001) 259-301. | Zbl 0983.93021
,[13] Stabilization for the 3D Navier-Stokes system by feedback boundary control, Discrete Contin. Dynam. Syst. 10 (2004) 289-314. | Zbl pre02077720
,[14] Exact boundary controllability of 3-D Euler equation, ESAIM Control Optim. Calc. Var. 5 (2000) 1-44, (electronic). | Numdam | MR 1745685 | Zbl 0940.93012
,[15] On exact controllability for the Navier-Stokes equations, ESAIM Control Optim. Calc. Var. 3 (1998) 97-131, (electronic). | Numdam | Zbl 1052.93502
,[16] A. Shirikyan, Approximate controllability of three-dimensional Navier-Stokes equations, Comm. Math. Phys. (2006), in press. | Zbl 1105.93016
[17] Partial Differential Equations. I-III, Springer-Verlag, New York, 1996. | Zbl 0869.35003
,[18] Navier-Stokes Equations, North-Holland, Amsterdam, 1979. | Zbl 0426.35003
,