Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force

Olivier Glass

Annales de l'I.H.P. Analyse non linéaire (2003)

  • Volume: 20, Issue: 6, page 921-946
  • ISSN: 0294-1449

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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 20.6 (2003): 921-946. <http://eudml.org/doc/78605>.

@article{Glass2003,
author = {Glass, Olivier},
journal = {Annales de l'I.H.P. Analyse non linéaire},
language = {eng},
number = {6},
pages = {921-946},
publisher = {Elsevier},
title = {Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force},
url = {http://eudml.org/doc/78605},
volume = {20},
year = {2003},
}

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
PB - Elsevier
VL - 20
IS - 6
SP - 921
EP - 946
LA - eng
UR - http://eudml.org/doc/78605
ER -

References

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  1. [1] Alber H.D, Existence of three-dimensional, steady, inviscid, incompressible flows with non-vanishing vorticity, Math. Ann.292 (3) (1992) 493-528. Zbl0772.35049MR1152947
  2. [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. Zbl0528.93051MR708502
  3. [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. Zbl1086.93511MR1721325
  4. [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. Zbl0954.76010MR1720143
  5. [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. Zbl1134.93314MR1860818
  6. [6] Glass O, Exact boundary controllability of 3-D Euler equation, ESAIM Control Optim. Calc. Var.5 (2000) 1-44. Zbl0940.93012MR1745685
  7. [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. Zbl0850.76110MR993230
  8. [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. MR177577

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