Non dérivation des équations de Prandtl

Emmanuel Grenier[1]

  • [1] Laboratoire d’Analyse Numérique, C.N.R.S. U.R.A. 189, Paris 6, Place Jussieu, 75005 Paris, France

Séminaire Équations aux dérivées partielles (1997-1998)

  • Volume: 1997-1998, page 1-12

How to cite

top

Grenier, Emmanuel. "Non dérivation des équations de Prandtl." Séminaire Équations aux dérivées partielles 1997-1998 (1997-1998): 1-12. <http://eudml.org/doc/10944>.

@article{Grenier1997-1998,
affiliation = {Laboratoire d’Analyse Numérique, C.N.R.S. U.R.A. 189, Paris 6, Place Jussieu, 75005 Paris, France},
author = {Grenier, Emmanuel},
journal = {Séminaire Équations aux dérivées partielles},
language = {eng},
pages = {1-12},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Non dérivation des équations de Prandtl},
url = {http://eudml.org/doc/10944},
volume = {1997-1998},
year = {1997-1998},
}

TY - JOUR
AU - Grenier, Emmanuel
TI - Non dérivation des équations de Prandtl
JO - Séminaire Équations aux dérivées partielles
PY - 1997-1998
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1997-1998
SP - 1
EP - 12
LA - eng
UR - http://eudml.org/doc/10944
ER -

References

top
  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. Zbl0148.45301
  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. Zbl0967.76096
  5. B. Desjardins, E. Grenier : On the homogeneous model of wind driven ocean circulation, preprint, 1997. Zbl0958.76092MR1740834
  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. Zbl0449.76027MR604359
  8. W. E., B. Engquist : Blow up of solutions to the unsteady Prandtl equations, Comm. Pure Appl. Math. 50 (1997), 1287-1293. Zbl0908.35099MR1476316
  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. Zbl0874.76026MR1441392
  10. H. P. Greenspan : The theory of rotating fluids, Cambridge monographs on mechanics and applied mathematics, 1969. Zbl0182.28103
  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. Zbl0896.35078
  13. O. Guès : Perturbations visqueuses de problèmes mixtes hyperboliques et couches limites, Annales Institut Fourier, Grenoble, (1995), 973-1006. Zbl0831.34023MR1359836
  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. Zbl0559.35067MR765230
  15. L. Landau, E. Lifchitz : Mécanique des fluides, Mir, 1959. Zbl0148.43806
  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. Zbl0173.36902MR196299
  17. Lord Rayleigh : On the stability, or instability, of certain fluid motions, Proc. London Math. Soc., 11 (1880), 57-70. Zbl12.0711.02

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.