Bibliography

1

Garrett C.J.R and Munk W.H.
Space time scales of internal waves.
Geophysical Fluid Dynamics, 3:225-264, 1972.

2

Garrett C.J.R and Munk W.H.
Space time scales of internal waves, progress report.
J. Geophys. Res, 80:281-297, 1975.

3

Garrett C.J.R and Munk W.H.
Internal waves in the ocean.
Annual Review of Fluid mechanics, 11:339-369, 1979.

4

J.R. Ledwell, E.T. Montgomery, K.L. Polzin, L.C. Laurent, R.W. Schmitt, and J.M. Toole.
Evidence for enhanced mixing over rough topography in the abyssal ocean.
Nature, 403:179-82, 2000.

5

J.M. Toole, R.W. Schmitt, K.L. Polzin, and E.Kunze.
Near-boundary mixing above the flanks of a midlatitude seamount.
Journal of Geophysical Research, 102:947-59, 1997.

6

K.L. Polzin, N.S. Oakey, J.M. Toole, and R.W.Schmitt.
Fine structure and microstructure characteristics across the northwest atlantic subtropical front.
Journal of Geophysical Research, 101:14111-21, 1996.

7

K. Polzin.
Statistics of the richardson number: mixing models and finestructure.
Journal of Physical Oceanography, 26:1409-25, 1996.

8

R.A. Weller, D.L. Rudnick, C.C. Eriksen, K.L.Polzin, N.S. Oakey, J.W.Toole, R.W. Schmitt, and R.T.Pollard.
Forced ocean response during the frontal air-sea interaction experiment.
Journal of Geophysical Research, 95:8611-38, 1991.

9

Dirk Olbers.
Nonlinear energy transfer and the energy balance of the intenal waves fiel in the deep ocean.
Journal of Fluid mechanics, 74:375-399, 1976.

10

Peter Muller, Greg Holloway, Frank Henyey, and Neil Pomphrey.
Nonlinear interaction among internal gravity waves.
Review of Geophysics, 24:493-536, 1986.

11

Pelinovskii E.N. and Raevsky M.A.
Weak turbulence of internal ocean waves.
Izvestiya Akademii Nauk SSSR, Fizika Atmosfery i Okeana, translated in Izvestiya Academy of Sciences USSR, Atmospheric and Oceanic Physics, 13:187-93, 1977.

12

A.G.Voronovich.
Hamiltonian formalism for internal waves in the ocean.
Izvestiya, Atmospheric and Oceanic Physics, 16:52-57, 1979.

13

Iu. Z. Miropolskii.
Dynamics of Internal Gravity Waves in the Ocean (Atmospheric and Oceanographic Sciences Library, V. 24).
Kluwer Academic Publishers, 2001, translation from Russian of "Dinamika vnutrennih voln v okeane", Gidrometeoizdat 1981.

14

P. Caillol and Z. Zeitlin.
Kinetic equations and stationary energy spectra of weakly nonlinear internal gravity waves.
Dynamics of Atmosphere and Ocean, 32:81-112, 2000.

15

C.O.Hines.
Geophys Astrophys Fluid Dynamics, 96:1-30, 2002.

16

C.O. Hines and O. Colin.
Theory of the eulerian tail in the spectra of atmospheric and oceanic internal gravity waves.
Journal of Fluid Mechanics, 448:289-313, 2001.

17

I. Chunchuzov.
On the high wavenumber form of the eulerian internal wave spectrum in the atmosphere.
Journal of Atmospheric Sciences, 59:1753-1774, 2002.

18

D.Broutman.
On doppler-spreading models of internal waves.
Geophys Research Letters, 24:2813-2816, 1997.

19

S.D. Eckermann.
sentropic advection by gravity waves: quasi-universal m/sup -3/ vertical wavenumber spectra near the onset of instability.
Geophys Res Letters, 26:201-204, 1999.

20

Yuri V. Lvov and Esteban Tabak.
Hamiltonian formalism and the garrett-munk spectrum of internal waves in the ocean.
Physical Review Letters, 87:168501, 2001.

21

Yuri V. Lvov, Kurt L Polzin and Esteban Tabak.
Energy spectra of the ocean's internal wave field: theory and observations
submitted to Physical Review Letters,
http://www.arxiv.org/math-ph/0307020

22

Michael Milder.
Hamiltonian description of internal waves.
Journal of FLuid mechanics, 119:269-282, 1982.

23

F.S. Henyey.
Hamiltonian description of stratified fluid dynamics.
Physics of Fluids, 26:40-7, 1983.

24

F.S. Henyey and C.R. Graham.
Clebsch representation near points where the vorticity vanishes.
Physics of Fluids, 12:744-6, 2000.

25

V. Zeitlin
Vorticity and waves: geometry of phase-space and the problem of normal variables
Physics Letters A, 164, 177-83, 1992.

26

I. Gjaja and D.D. Holm.
Self-consistent hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid.
Physica D, 98:343-78, 1996.

27

Darryl D. Holm and Vladimir Zeitlin
Hamilton's principle for quasigeostrophic motion
Physics of Fluids, 10, 800-6 1998.

28

P. J. Morrison.
Hamiltonian description of the ideal fluid.
Rev. Mod. Phys., 70:467-521, 1998.

29

R. Salmon.
Hamilotonian fluid mechanics.
Journal Annual review of fluid mechanics, 20:225-256, 1988.

30

Benoit Cushmar-Roisin.
Introduction to Geophysical Fluid dynamics.
Prentice Hall, 1994.

31

V.E.Zakharov.
Stability of periodic waves of finite amplitude on a surface of deep fluid.
J.Appl.Mech. Tech. Phys, 2:190-198, 1967.

32

J.W. Miles.
Hamiltonian formulations for surface waves.
Applied Scientific Research, 37:103-10, 1981.

33

A.E.Gill.
Atmosphere-Ocean Dynamics.
Academic Press, 1982.

34

V.E. Zakharov, V.S. L'vov, and G.Falkovich.
Kolmogorov Spectra of Turbulence.
Springer-Verlag, 1992.

35

K.Hasselmann.
On the nonlinear energy transfer in a gravity wave spectrum. part $i$. general theory.
J. Fluid Mech., 12:481, 1962.

36

K.Hasselmann.
On the nonlinear energy transfer in a gravity wave spectrum. part $ii$. conservation theorems, wave-particle analogy, irreversibility.
J. Fluid Mech., 15, 1962.

37

D.J. Benney and P.Saffmann.
Nonlinear interaction of random waves in a dispersive medium.
Proc Royal. Soc, 289:301-320, 1966.

38

B.B. Kadomtsev.
Plasma Turbulence.
Academic Press, New York, 1965.

39

V. E. Zakharov.
The instability of waves in nonlinear dispersive media.
Sov. Phys. JETP, 24(4):740-744, 1967.

40

J. Benney and A.C. Newell.
Random wave closure.
Studies in Appl. Math., 48:1, 1969.

41

A. C. Newell.
Solitons in mathematics and physics.
SIAM, Philadelphia, 1985.

42

A. J. Majda, D. W. McLaughlin, and E. G. Tabak.
A one-dimensional model for dispersive wave turbulence.
J. Nonlin. Sci., 6:9-44, 1997.

43

E.A.Kuznetsov.
Zh. Eksp.Teor.Fiz, 62, 1972.