Creation and coupling of Rossby waves over topography and the breakdown of WKB theory

Rémi Tailleux

Annales mathématiques Blaise Pascal (2002)

  • Volume: 9, Issue: 2, page 329-343
  • ISSN: 1259-1734

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Tailleux, Rémi. "Creation and coupling of Rossby waves over topography and the breakdown of WKB theory." Annales mathématiques Blaise Pascal 9.2 (2002): 329-343. <http://eudml.org/doc/79257>.

@article{Tailleux2002,
author = {Tailleux, Rémi},
journal = {Annales mathématiques Blaise Pascal},
language = {eng},
number = {2},
pages = {329-343},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Creation and coupling of Rossby waves over topography and the breakdown of WKB theory},
url = {http://eudml.org/doc/79257},
volume = {9},
year = {2002},
}

TY - JOUR
AU - Tailleux, Rémi
TI - Creation and coupling of Rossby waves over topography and the breakdown of WKB theory
JO - Annales mathématiques Blaise Pascal
PY - 2002
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 9
IS - 2
SP - 329
EP - 343
LA - eng
UR - http://eudml.org/doc/79257
ER -

References

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  2. [2] J.G. Charney and G.R. Flierl. Oceanic analogues of atmospheric motions. In: Evolution of Physical Oceanography, B.A. Warren and C. Wunsch, The MIT Press, Cambridgeand London., pages 504-548, 1981. 
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  4. [4] W.G. Flynn and R.G. Littlejohn. Normal forms for linear mode conversion and landau-zener transitions in one dimension. Annals of Physics, 234:334-403, 1994. MR1289934
  5. [5] R. Grimshaw and J.S. Allen. Linearly coupled, slowly varying oscillators. Studies in Applied Mathematics, 61:55-71, 1979. Zbl0412.34057MR535867
  6. [6] R. Hallberg. Localized coupling between the surface and bottom-intensified flow over topography. J. Phys. Oceanogr., 27:977-998, 1997. 
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  8. [8] A.N. Kaufman, J.J. Morehead, A.J. Brizard, and E.R. Tracy. Mode conversion in the gulf of guinea. J. Fluid Mech., 394:175-192, 1999. Zbl0957.76010
  9. [9] P.D. Killworth and J.R. Blundell. The effect of bottom topography on the speed of long extratropical planetary waves. J. Phys. Oceanogr., 29:2689-2710, 1999. MR1791059
  10. [10] J. Lighthill. Waves in fluids. Cambridge University Press, 1978. Zbl0375.76001MR642980
  11. [11] P.B. Rhines. Edge-, bottom-, and rossby waves in a rotating stratified fluid. Geophys. Fluid Dyn., 1:273-302, 1970. 
  12. [12] T. Sakamoto and T. Yamagata. Evolution of baroclinic planetary eddies over localized bottom topography in terms of jebar. Geophys. Astrophys. Fluid Dyn., 84:1-27, 1997. MR1615428
  13. [13] D.N. Straub. Dispersion of rossby waves in the presence of zonally varying topography. Geophys. Astrophys. Fluid Dyn., 75:107-130, 1994. 
  14. [14] R. Tailleux. On the ray dynamics of long baroclinic rossby waves over topography. J. Phys. Oceanogr., sub judice, 2002. Zbl1125.86312
  15. [15] R. Tailleux and J.C. McWilliams. Acceleration, creation and depletion of wind-driven, baroclinic rossby waves over an ocean ridge. J. Phys. Oceanogr., 30:2186-2213, 2000. MR1797331
  16. [16] R. Tailleux and J.C. McWilliams. Energy propagation of long, extratropical rossby waves over slowly varying zonal topography. J. Fluid Mech., in press, 2002. Zbl1129.76310MR1942986
  17. [17] J. Vanneste. Mode conversion for rossby waves over topography: Comments on "localized coupling between surface and bottom-intensified flow over topography". J. Phys. Oceanogr., 31:1922-1925, 2001. 

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