Boundary layers and time oscillations in rotating fluids

Jean-Yves Chemin[1]; Benoît Desjardins[2]; Isabelle Gallagher[1]; Emmanuel Grenier[3]

  • [1] Centre de Mathématiques de l’École Polytechnique, C.N.R.S. UMR 7640, 91128 Palaiseau Cedex, France
  • [2] C.E.A., BP 12, 91680 Bruyères-le Châtel, France
  • [3] UMPA (CNRS UMR 5669), E.N.S. Lyon, 46 allée d’Italie, 69364 Lyon cedex 07, France

Séminaire Équations aux dérivées partielles (2001-2002)

  • Volume: 2001-2002, page 1-15

How to cite

top

Chemin, Jean-Yves, et al. "Boundary layers and time oscillations in rotating fluids." Séminaire Équations aux dérivées partielles 2001-2002 (2001-2002): 1-15. <http://eudml.org/doc/11043>.

@article{Chemin2001-2002,
affiliation = {Centre de Mathématiques de l’École Polytechnique, C.N.R.S. UMR 7640, 91128 Palaiseau Cedex, France; C.E.A., BP 12, 91680 Bruyères-le Châtel, France; Centre de Mathématiques de l’École Polytechnique, C.N.R.S. UMR 7640, 91128 Palaiseau Cedex, France; UMPA (CNRS UMR 5669), E.N.S. Lyon, 46 allée d’Italie, 69364 Lyon cedex 07, France},
author = {Chemin, Jean-Yves, Desjardins, Benoît, Gallagher, Isabelle, Grenier, Emmanuel},
journal = {Séminaire Équations aux dérivées partielles},
language = {eng},
pages = {1-15},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Boundary layers and time oscillations in rotating fluids},
url = {http://eudml.org/doc/11043},
volume = {2001-2002},
year = {2001-2002},
}

TY - JOUR
AU - Chemin, Jean-Yves
AU - Desjardins, Benoît
AU - Gallagher, Isabelle
AU - Grenier, Emmanuel
TI - Boundary layers and time oscillations in rotating fluids
JO - Séminaire Équations aux dérivées partielles
PY - 2001-2002
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2001-2002
SP - 1
EP - 15
LA - eng
UR - http://eudml.org/doc/11043
ER -

References

top
  1. A. Babin, A. Mahalov, B. Nicolaenko: Global regularity of 3D rotating Navier-Stokes equations for resonant domains, Indiana Univ. Math. J. 48 (1999), no. 3, 1133–1176 Zbl0932.35160MR1736966
  2. A. Babin, A. Mahalov, B. Nicolaenko: Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids, European J. Mech. B Fluids 15 (1996), no. 3, 291–300. Zbl0882.76096MR1400515
  3. J.-Y. Chemin, B. Desjardins, I. Gallagher, E. Grenier: Fluids with anisotropic viscosity, Modélisation Mathématique et Analyse Numérique,34, 2000, pages 315–335. Zbl0954.76012MR1765662
  4. J.-Y. Chemin, B. Desjardins, I. Gallagher, E. Grenier: Anisotropy and dispersion in rotating fluids, to appear, Séminaire d’Analyse non linéaire du Collège de France. Zbl1034.35107
  5. J.-Y. Chemin, B. Desjardins, I. Gallagher, E. Grenier: Ekman boundary layers in rotating fluids, to appear, ESAIM cocv. Zbl1070.35505MR1932959
  6. B. Desjardins, E. Dormy, E. Grenier: Stability of mixed Ekman-Hartmann boundary layers, Nonlinearity 12 (1999), no. 2, 181–199. Zbl0939.35151MR1677778
  7. I. Gallagher: Applications of Schochet’s methods to parabolic equations, J. Math. Pures Appl. (9) 77 (1998), no. 10, 989–1054. Zbl1101.35330
  8. H.P. Greenspan: The theory of rotating fluids. Reprint of the 1968 original. Cambridge Monographs on Mechanics and Applied Mathematics. Cambridge University Press, Cambridge-New York, 1980. Zbl0182.28103MR639897
  9. E. Grenier : Oscillatory perturbations of the Navier-Stokes equations, J. Math. Pures Appl. (9) 76 (1997), no. 6, 477–498. Zbl0885.35090MR1465607
  10. E. Grenier, N. Masmoudi: Ekman layers of rotating fluids, the case of well prepared initial data, Comm. Partial Differential Equations 22 (1997), no. 5 - 6 , 953–975. Zbl0880.35093MR1452174
  11. Pedlovsky : Geophysical Fluid Dynamics, Springer-Verlag, 1979. Zbl0429.76001

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.