@article{AIHPC_2007__24_6_921_0, author = {Raymond, J.-P.}, title = {Stokes and {Navier-Stokes} equations with nonhomogeneous boundary conditions}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {921--951}, publisher = {Elsevier}, volume = {24}, number = {6}, year = {2007}, doi = {10.1016/j.anihpc.2006.06.008}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2006.06.008/} }
TY - JOUR AU - Raymond, J.-P. TI - Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions JO - Annales de l'I.H.P. Analyse non linéaire PY - 2007 SP - 921 EP - 951 VL - 24 IS - 6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpc.2006.06.008/ DO - 10.1016/j.anihpc.2006.06.008 LA - en ID - AIHPC_2007__24_6_921_0 ER -
%0 Journal Article %A Raymond, J.-P. %T Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions %J Annales de l'I.H.P. Analyse non linéaire %D 2007 %P 921-951 %V 24 %N 6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpc.2006.06.008/ %R 10.1016/j.anihpc.2006.06.008 %G en %F AIHPC_2007__24_6_921_0
Raymond, J.-P. Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 6, pp. 921-951. doi : 10.1016/j.anihpc.2006.06.008. http://archive.numdam.org/articles/10.1016/j.anihpc.2006.06.008/
[1] Nonhomogeneous Navier-Stokes equations with integrable low-regularity data, in: , (Eds.), Nonlinear Problems in Mathematical Physics and Related Topics II, Kluwer Academic/Plenum Publishers, New York, 2002, pp. 1-28.
,[2] Navier-Stokes equations with nonhomogeneous Dirichlet boundary conditions, J. Nonlinear Math. Phys. 10 (Suppl. 1) (2003) 1-11.
,[3] V. Barbu, I. Lasiecka, R. Triggiani, Tangential boundary stabilization of Navier-Stokes equations, Mem. Amer. Math. Soc. (2006), in press. | Zbl
[4] Representation and Control of Infinite Dimensional Systems, vol. 1, Birkhäuser, 1992. | MR | Zbl
, , , ,[5] Representation and Control of Infinite Dimensional Systems, vol. 2, Birkhäuser, 1993. | Zbl
, , , ,[6] vol. 8, Masson, Paris, 1988.
, , Analyse Mathématique et Calcul Numérique,[7] R. Farwig, G.P. Galdi, H. Sohr, A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data, J. Math. Fluid Mech., published on line 27 October 2005. | Zbl
[8] Trace theorems for three-dimensional time-dependent solenoidal vector fields and their applications, Trans. Amer. Math. Soc. 354 (2001) 1079-1116. | MR | Zbl
, , ,[9] Inhomogeneous boundary value problems for the three-dimensional evolutionary Navier-Stokes equations, J. Math. Fluid Mech. 4 (2002) 45-75. | Zbl
, , ,[10] An Introduction to the Mathematical Theory of the Navier-Stokes Equations, vol. 1, Springer-Verlag, 1994. | Zbl
,[11] A class of solutions to the stationary Stokes and Navier-Stokes equations with boundary data in , Math. Ann. 331 (2005) 41-74. | Zbl
, , ,[12] Commutativité de deux foncteurs d'interpolation et applications, J. Math. Pures Appl. 45 (1966) 143-206, and 207-290. | Zbl
,[13] Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods, Math. Scand. 69 (1991) 217-290. | Zbl
, ,[14] Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity Sobolev spaces, J. Math. Fluid Mech. 3 (2001) 57-81. | Zbl
,[15] Active control and drag optimization for flow past a circular cylinder, J. Comp. Phys. 163 (2000) 83-117. | MR | Zbl
, , , , ,[16] The regulator problem for parabolic equations with Dirichlet boundary control, Appl. Math. Optim. 16 (1987) 147-168. | MR | Zbl
, ,[17] Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs, J. Math. Soc. Japan 14 (1962) 233-241. | MR | Zbl
,[18] Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles, Dunod, Paris, 1969. | MR | Zbl
,[19] Problèmes aux limites non homogènes, vol. 1, Dunod, Paris, 1968. | Zbl
, ,[20] Problèmes aux limites non homogènes, vol. 2, Dunod, Paris, 1968. | Zbl
, ,[21] Control problems for convection-diffusion equations with control localized on manifolds, ESAIM Control Optim. Calc. Var. 6 (2001) 467-488. | Numdam | MR | Zbl
, ,[22] Feedback boundary stabilization of the two-dimensional Navier-Stokes equations, SIAM J. Control Optim. 45 (2006) 790-828. | Zbl
,[23] Local boundary feedback stabilization of the Navier-Stokes equations, in: Control Systems: Theory, Numerics and Applications, http://pos.sissa.it.
,[24] Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations, in: Amer. Math. Soc. Transl. Ser. 2, vol. 75, 1968, pp. 1-116. | Zbl
,[25] Navier-Stokes Equations, North-Holland, 1984. | Zbl
,[26] Elliptic Differential Equations and Obstacle Problems, Plenum Press, New York, 1987. | MR | Zbl
,[27] The Equations of Navier-Stokes and Abstract Parabolic Equations, Vieweg and Sohn, Braunschweig, 1985.
,Cité par Sources :