no. 6
Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force
Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 6, pp. 921-946 
@article{AIHPC_2003__20_6_921_0,
     author = {Glass, Olivier},
     title = {Existence of solutions for the two-dimensional stationary {Euler} system for ideal fluids with arbitrary force},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {921--946},
     year = {2003},
     publisher = {Elsevier},
     volume = {20},
     number = {6},
     doi = {10.1016/S0294-1449(02)00031-8},
     mrnumber = {2008684},
     zbl = {1087.76010},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/S0294-1449(02)00031-8/}
}
TY  - JOUR
AU  - Glass, Olivier
TI  - Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2003
SP  - 921
EP  - 946
VL  - 20
IS  - 6
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.1016/S0294-1449(02)00031-8/
DO  - 10.1016/S0294-1449(02)00031-8
LA  - en
ID  - AIHPC_2003__20_6_921_0
ER  - 
%0 Journal Article
%A Glass, Olivier
%T Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force
%J Annales de l'I.H.P. Analyse non linéaire
%D 2003
%P 921-946
%V 20
%N 6
%I Elsevier
%U https://www.numdam.org/articles/10.1016/S0294-1449(02)00031-8/
%R 10.1016/S0294-1449(02)00031-8
%G en
%F AIHPC_2003__20_6_921_0
Glass, Olivier. Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force. Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 6, pp. 921-946. doi: 10.1016/S0294-1449(02)00031-8

[1] Alber H.D, Existence of three-dimensional, steady, inviscid, incompressible flows with non-vanishing vorticity, Math. Ann. 292 (3) (1992) 493-528. | Zbl | MR

[2] Brockett R.W, Asymptotic stability and feedback stabilization, in: Differential Geometric Control Theory, Houghton, MI, 1982, Progr. Math., 27, Birkhäuser Boston, 1983, pp. 181-191. | Zbl | MR

[3] Coron J.-M, Sur la stabilisation des fluides parfaits incompressibles bidimensionnels, in: Séminaire Équations aux Dérivées Partielles, École Polytechnique, Centre de Mathématiques, 1998, exposé VII. | Zbl | MR | Numdam

[4] Coron J.-M, On the null asymptotic stabilization of 2-D incompressible Euler equation in a simply connected domain, SIAM J. Control Optim. 37 (6) (1999) 1874-1896. | Zbl | MR

[5] Glass O, An addendum to a J.M. Coron theorem concerning the controllability of the Euler system for 2D incompressible inviscid fluids, J. Math. Pures Appl. 80 (8) (2001) 845-877. | Zbl | MR

[6] Glass O, Exact boundary controllability of 3-D Euler equation, ESAIM Control Optim. Calc. Var. 5 (2000) 1-44. | Zbl | MR | Numdam

[7] Troshkin O.V, A two-dimensional flow problem for the steady Euler equations, Mat. Sb. 180 (3) (1989) 354-374, Translation in , Math. USSR-Sb. 66 (2) (1990) 363-382. | Zbl | MR

[8] Yudovich V.I, A two-dimensional problem of unsteady flow of an ideal incompressible fluid across a given domain, Mat. Sb. 64 (106) (1964) 562-588, Translation in: Amer. Math. Soc. Transl. Ser. 2 (57) 277-304. | MR

Cité par Sources :