Creation and coupling of Rossby waves over topography and the breakdown of WKB theory
Tailleux, Rémi
Annales mathématiques Blaise Pascal, Tome 9 (2002), p. 329-343 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 2002-01-01
@article{AMBP_2002__9_2_329_0,
     author = {Tailleux, R\'emi},
     title = {Creation and coupling of Rossby waves over topography and the breakdown of WKB theory},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {9},
     year = {2002},
     pages = {329-343},
     mrnumber = {1969086},
     zbl = {02081318},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2002__9_2_329_0}
}

Tailleux, Rémi. Creation and coupling of Rossby waves over topography and the breakdown of WKB theory. Annales mathématiques Blaise Pascal, Tome 9 (2002) pp. 329-343. http://gdmltest.u-ga.fr/item/AMBP_2002__9_2_329_0/

[1] B. Barnier. A numerical study on the influence of the mid-atlantic ridge on nonlinear first-mode baroclinic rossby waves generated by seasonal winds. J. Phys. Oceanogr., 18:417-433, 1988.

[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, Cambridge and London., pages 504-548, 1981.

[3] D.B. Chelton and M.G. Schlax. Global observations of oceanic Rossby waves. Science, 272:234-238, 1996.

[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. | MR 1289934

[5] R. Grimshaw and J.S. Allen. Linearly coupled, slowly varying oscillators. Studies in Applied Mathematics, 61:55-71, 1979. | MR 535867 | Zbl 0412.34057

[6] R. Hallberg. Localized coupling between the surface and bottom-intensified flow over topography. J. Phys. Oceanogr., 27:977-998, 1997.

[7] A.N. Kaufman and L. Friedland. Phase-space solution of the linear mode-conversion problem. Phys. Let. A, 123:387-389, 1987. | MR 907429

[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. | Zbl 0957.76010

[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. | MR 1791059

[10] J. Lighthill. Waves in fluids. Cambridge University Press, 1978. | MR 642980 | Zbl 0375.76001

[11] P.B. Rhines. Edge-, bottom-, and rossby waves in a rotating stratified fluid. Geophys. Fluid Dyn., 1:273-302, 1970.

[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. | MR 1615428

[13] D.N. Straub. Dispersion of rossby waves in the presence of zonally varying topography. Geophys. Astrophys. Fluid Dyn., 75:107-130, 1994.

[14] R. Tailleux. On the ray dynamics of long baroclinic rossby waves over topography. J. Phys. Oceanogr., sub judice, 2002.

[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. | MR 1797331

[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. | MR 1942986 | Zbl 01941717

[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.