Non dérivation des équations de Prandtl
Séminaire Équations aux dérivées partielles (Polytechnique), (1997-1998), Talk no. 18, 12 p.
@article{SEDP_1997-1998____A18_0,
     author = {Grenier, Emmanuel},
     title = {Non d\'erivation des \'equations de Prandtl},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique)},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {1997-1998},
     note = {talk:18},
     mrnumber = {1660531},
     zbl = {02124191},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1997-1998____A18_0}
}
Grenier, Emmanuel. Non dérivation des équations de Prandtl. Séminaire Équations aux dérivées partielles (Polytechnique),  (1997-1998), Talk no. 18, 12 p. http://www.numdam.org/item/SEDP_1997-1998____A18_0/

[1] V.I. Arnold : Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits, Annales de l’Institut Fourier, 16 (1969) 319-361. | Numdam | Zbl 0148.45301

[2] Y. Brenier : Reformulations of some inviscid hydrostatic models, preprint, 1997.

[3] R.E. Caflisch, M. Sanmartino : Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space I. and II. preprint

[4] B. Desjardins, E. Grenier : Derivation of quasigeostrophic equations, to appear in Adv Diff Equ.

[5] B. Desjardins, E. Grenier : On the homogeneous model of wind driven ocean circulation, preprint, 1997. | MR 1740834 | Zbl 0958.76092

[6] B. Desjardins, E. Grenier : Reynolds.n, a package to compute critical Reynolds number, preprint et http://www.dmi.ens.fr/~grenier.

[7] P.G. Drazin, W.H. Reid : Hydrodynamic stability, Cambridge monographs on mechanics and applied mathematics, 1981. | MR 604359 | Zbl 0449.76027

[8] W. E., B. Engquist : Blow up of solutions to the unsteady Prandtl equations, Comm. Pure Appl. Math. 50 (1997), 1287-1293. | MR 1476316 | Zbl 0908.35099

[9] S. Friedlander, W. Strauss, M. Vishik : Nonlinear instability in an ideal fluid, Ann. Inst. H. Poincaré Anal. Non Linéaire, 14 (1997), no. 2, 187-209. | Numdam | MR 1441392 | Zbl 0874.76026

[10] H. P. Greenspan : The theory of rotating fluids, Cambridge monographs on mechanics and applied mathematics, 1969. | Zbl 0182.28103

[11] E. Grenier : On the stability of boundary layers of Euler equations, preprint, 1998.

[12] E. Grenier, O. Guès : On the inviscid limit of noncharacteristic nonlinear parabolic systems. Journal Diff. Equ., 143 (1998), 110-146. | Zbl 0896.35078

[13] O. Guès : Perturbations visqueuses de problèmes mixtes hyperboliques et couches limites, Annales Institut Fourier, Grenoble, (1995), 973-1006. | Numdam | MR 1359836 | Zbl 0831.34023

[14] T. Kato : Remarks on zero viscosity limit for nonstationary Navier Stokes flows with boundary. Seminar on nonlinear partial differential equations (Berkeley, Calif., 1983), 85-98, Math. Sci. Res. Inst. Publ., 2, Springer, New York-Berlin, 1984. | MR 765230 | Zbl 0559.35067

[15] L. Landau, E. Lifchitz : Mécanique des fluides, Mir, 1959.

[16] O.A. Oleinik : A system of boundary layer equations for non-stationary flow of an incompressible fluid, Dokl. Akad. Nauk SSSR, 168 (1966) 751-754. | MR 196299 | Zbl 0173.36902

[17] Lord Rayleigh : On the stability, or instability, of certain fluid motions, Proc. London Math. Soc., 11 (1880), 57-70.