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Volumn 195, Issue 1-2, 2004, Pages 106-122

A Hamiltonian formulation for long internal waves

Author keywords

Coriolis effect; Hamiltonian formulation; Internal wave interactions; Internal waves; Kolmogorov solution; Spectral energy density of internal waves; Wave kinetic equation; Wave turbulence

Indexed keywords

APPROXIMATION THEORY; HAMILTONIANS; KINETIC ENERGY; NONLINEAR EQUATIONS; SHEAR WAVES; TURBULENCE; WAVE EQUATIONS;

EID: 3042853449     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2004.03.010     Document Type: Article
Times cited : (39)

References (52)
  • 2
    • 0001402118 scopus 로고
    • Space time scales of internal waves
    • (progress report)
    • Garrett C.J.R., Munk W.H., Space time scales of internal waves. J. Geophys. Res. 80:1975;281-297. (progress report).
    • (1975) J. Geophys. Res. , vol.80 , pp. 281-297
    • Garrett, C.J.R.1    Munk, W.H.2
  • 5
    • 0030910103 scopus 로고    scopus 로고
    • Near-boundary mixing above the flanks of a midlatitude seamount
    • Toole J.M., Schmitt R.W., Polzin K.L., Kunze E., Near-boundary mixing above the flanks of a midlatitude seamount. J. Geophys. Res. 102:1997;947-959.
    • (1997) J. Geophys. Res. , vol.102 , pp. 947-959
    • Toole, J.M.1    Schmitt, R.W.2    Polzin, K.L.3    Kunze, E.4
  • 6
    • 0029853105 scopus 로고    scopus 로고
    • Fine structure and microstructure characteristics across the northwest Atlantic subtropical front
    • Polzin K.L., Oakey N.S., Toole J.M., Schmitt R.W., Fine structure and microstructure characteristics across the northwest Atlantic subtropical front. J. Geophys. Res. 101:1996;14111-14121.
    • (1996) J. Geophys. Res. , vol.101 , pp. 14111-14121
    • Polzin, K.L.1    Oakey, N.S.2    Toole, J.M.3    Schmitt, R.W.4
  • 7
    • 0030438975 scopus 로고    scopus 로고
    • Statistics of the richardson number: Mixing models and finestructure
    • Polzin K., Statistics of the richardson number: mixing models and finestructure. J. Phys. Oceanogr. 26:1996;1409-1425.
    • (1996) J. Phys. Oceanogr. , vol.26 , pp. 1409-1425
    • Polzin, K.1
  • 9
    • 0016934875 scopus 로고
    • Nonlinear energy transfer and the energy balance of the internal waves field in the deep ocean
    • Olbers D., Nonlinear energy transfer and the energy balance of the internal waves field in the deep ocean. J. Fluid Mech. 74:1976;375-399.
    • (1976) J. Fluid Mech. , vol.74 , pp. 375-399
    • Olbers, D.1
  • 11
    • 0008402347 scopus 로고
    • Weak turbulence of internal ocean waves
    • (Izvestiya Akademii Nauk SSSR, Fizika Atmosfery i Okeana translated in Izvestiya Academy of Sciences USSR)
    • Pelinovskii E.N., Raevsky M.A., Weak turbulence of internal ocean waves. Atmos. Ocean. Phys. 13:1977;187-193. (Izvestiya Akademii Nauk SSSR, Fizika Atmosfery i Okeana translated in Izvestiya Academy of Sciences USSR).
    • (1977) Atmos. Ocean. Phys. , vol.13 , pp. 187-193
    • Pelinovskii, E.N.1    Raevsky, M.A.2
  • 12
    • 0242298831 scopus 로고
    • Hamiltonian formalism for internal waves in the ocean
    • Voronovich A.G., Hamiltonian formalism for internal waves in the ocean. Atmos. Ocean. Phys. 16:1979;52-57.
    • (1979) Atmos. Ocean. Phys. , vol.16 , pp. 52-57
    • Voronovich, A.G.1
  • 13
    • 0003759676 scopus 로고    scopus 로고
    • Dynamics of internal gravity waves in the ocean
    • Kluwer Academic Publishers
    • Iu.Z. Miropolskii, Dynamics of Internal Gravity Waves in the Ocean, Atmospheric and Oceanographic Sciences Library, vol. 24, Kluwer Academic Publishers, 2001 (translation from Russian of Dinamika vnutrennih voln v okeane, Gidrometeoizdat, 1981).
    • (2001) Atmospheric and Oceanographic Sciences Library , vol.24
    • Miropolskii, Iu.Z.1
  • 14
    • 3042769805 scopus 로고
    • Gidrometeoizdat
    • Iu.Z. Miropolskii, Dynamics of Internal Gravity Waves in the Ocean, Atmospheric and Oceanographic Sciences Library, vol. 24, Kluwer Academic Publishers, 2001 (translation from Russian of Dinamika vnutrennih voln v okeane, Gidrometeoizdat, 1981).
    • (1981) Dinamika Vnutrennih Voln v Okeane
  • 15
    • 0033864496 scopus 로고    scopus 로고
    • Kinetic equations and stationary energy spectra of weakly nonlinear internal gravity waves
    • Caillol P., Zeitlin Z., Kinetic equations and stationary energy spectra of weakly nonlinear internal gravity waves. Dyn. Atmos. Ocean. 32:2000;81-112.
    • (2000) Dyn. Atmos. Ocean , vol.32 , pp. 81-112
    • Caillol, P.1    Zeitlin, Z.2
  • 17
    • 0035842094 scopus 로고    scopus 로고
    • Theory of the Eulerian tail in the spectra of atmospheric and oceanic internal gravity waves
    • Hines C.O., Colin O., Theory of the Eulerian tail in the spectra of atmospheric and oceanic internal gravity waves. J. Fluid Mech. 448:2001;289-313.
    • (2001) J. Fluid Mech. , vol.448 , pp. 289-313
    • Hines, C.O.1    Colin, O.2
  • 18
    • 0037095227 scopus 로고    scopus 로고
    • On the high wavenumber form of the Eulerian internal wave spectrum in the atmosphere
    • Chunchuzov I., On the high wavenumber form of the Eulerian internal wave spectrum in the atmosphere. J. Atmos. Sci. 59:2002;1753-1774.
    • (2002) J. Atmos. Sci. , vol.59 , pp. 1753-1774
    • Chunchuzov, I.1
  • 19
    • 0031277551 scopus 로고    scopus 로고
    • On Doppler-spreading models of internal waves
    • Broutman D., On Doppler-spreading models of internal waves. Geophys. Res. Lett. 24:1997;2813-2816.
    • (1997) Geophys. Res. Lett. , vol.24 , pp. 2813-2816
    • Broutman, D.1
  • 20
    • 0033556673 scopus 로고    scopus 로고
    • Sentropic advection by gravity waves: Quasi-universal m/sup-3/ vertical wavenumber spectra near the onset of instability
    • Eckermann S.D., Sentropic advection by gravity waves: quasi-universal m/sup-3/ vertical wavenumber spectra near the onset of instability. Geophys. Res. Lett. 26:1999;201-204.
    • (1999) Geophys. Res. Lett. , vol.26 , pp. 201-204
    • Eckermann, S.D.1
  • 21
    • 42749108433 scopus 로고    scopus 로고
    • Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean
    • Lvov Yu.V., Tabak E., Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean. Phys. Rev. Lett. 87:2001;168501. ( http://arxiv.org/abs/nlin.CD/0105007 ).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 168501
    • Lvov, Yu.V.1    Tabak, E.2
  • 22
    • 2342451130 scopus 로고    scopus 로고
    • Energy spectra of the ocean's internal wave field: Theory and observations
    • Yu.V. Lvov, K.L. Polzin, E. Tabak, Energy spectra of the ocean's internal wave field: theory and observations, Phys. Rev. Lett. 92 (2004) 128501. http://www.arxiv.org/math-ph/0307020 .
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 128501
    • Lvov, Yu.V.1    Polzin, K.L.2    Tabak, E.3
  • 23
    • 0020140566 scopus 로고
    • Hamiltonian description of internal waves
    • Milder M., Hamiltonian description of internal waves. J. Fluid Mech. 119:1982;269-282.
    • (1982) J. Fluid Mech. , vol.119 , pp. 269-282
    • Milder, M.1
  • 24
    • 0020599834 scopus 로고
    • Hamiltonian description of stratified fluid dynamics
    • Henyey F.S., Hamiltonian description of stratified fluid dynamics. Phys. Fluids. 26:1983;40-47.
    • (1983) Phys. Fluids , vol.26 , pp. 40-47
    • Henyey, F.S.1
  • 25
    • 0034094180 scopus 로고    scopus 로고
    • Clebsch representation near points where the vorticity vanishes
    • Henyey F.S., Graham C.R., Clebsch representation near points where the vorticity vanishes. Phys. Fluids. 12:2000;744-746.
    • (2000) Phys. Fluids , vol.12 , pp. 744-746
    • Henyey, F.S.1    Graham, C.R.2
  • 26
    • 0001150227 scopus 로고
    • Vorticity and waves: Geometry of phase-space and the problem of normal variables
    • Zeitlin V., Vorticity and waves: geometry of phase-space and the problem of normal variables. Phys. Lett. A. 164:1992;177-183.
    • (1992) Phys. Lett. A , vol.164 , pp. 177-183
    • Zeitlin, V.1
  • 27
    • 0000643286 scopus 로고    scopus 로고
    • Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid
    • Gjaja I., Holm D.D., Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid. Physica D. 98:1996;343-378.
    • (1996) Physica D , vol.98 , pp. 343-378
    • Gjaja, I.1    Holm, D.D.2
  • 28
    • 0347093085 scopus 로고    scopus 로고
    • Hamilton's principle for quasigeostrophic motion
    • Holm D.D., Zeitlin V., Hamilton's principle for quasigeostrophic motion. Phys. Fluids. 10:1998;800-806.
    • (1998) Phys. Fluids , vol.10 , pp. 800-806
    • Holm, D.D.1    Zeitlin, V.2
  • 29
    • 0032364496 scopus 로고    scopus 로고
    • Hamiltonian description of the ideal fluid
    • Morrison P.J., Hamiltonian description of the ideal fluid. Rev. Mod. Phys. 70:1998;467-521.
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 467-521
    • Morrison, P.J.1
  • 30
    • 0023770258 scopus 로고
    • Hamiltonian fluid mechanics
    • Salmon R., Hamiltonian fluid mechanics. J. Ann. Rev. Fluid Mech. 20:1988;225-256.
    • (1988) J. Ann. Rev. Fluid Mech. , vol.20 , pp. 225-256
    • Salmon, R.1
  • 31
    • 0030703611 scopus 로고    scopus 로고
    • Model dynamics and vertical collapse in decaying strongly stratified flows
    • Majda A.J., Grote M., Model dynamics and vertical collapse in decaying strongly stratified flows. Phys. Fluids. 9(10):1997;2932-2940.
    • (1997) Phys. Fluids , vol.9 , Issue.10 , pp. 2932-2940
    • Majda, A.J.1    Grote, M.2
  • 32
    • 0001326477 scopus 로고    scopus 로고
    • The three-dimensional vortical nature of atmospheric and oceanic turbulent flows
    • Dritschel D.G., de la Torre Juàrez M., Ambaum M.H.P., The three-dimensional vortical nature of atmospheric and oceanic turbulent flows. Phys. Fluids. 11(6):1999;1512-1520.
    • (1999) Phys. Fluids , vol.11 , Issue.6 , pp. 1512-1520
    • Dritschel, D.G.1    De La Torre Juàrez, M.2    Ambaum, M.H.P.3
  • 33
    • 0001420161 scopus 로고
    • On sound generated aerodynamically. Turbulence as a source of sound
    • Lighthill M.J., On sound generated aerodynamically. Turbulence as a source of sound. Proc. R. Soc. London Ser. A. 222:1954;1-32.
    • (1954) Proc. R. Soc. London Ser. A , vol.222 , pp. 1-32
    • Lighthill, M.J.1
  • 34
    • 84953653326 scopus 로고
    • The scattering of sound in a turbulent medium
    • Kraichnan R.H., The scattering of sound in a turbulent medium. J. Acoust. Soc. Am. 25:1953;1096-1104.
    • (1953) J. Acoust. Soc. Am. , vol.25 , pp. 1096-1104
    • Kraichnan, R.H.1
  • 35
    • 0029414211 scopus 로고
    • Nonlinear sound-vortex interactions in an inviscid isentropic fluid: A two fluid model
    • Nazarenko S., Zabusky N.J., Scheidegger T., Nonlinear sound-vortex interactions in an inviscid isentropic fluid: a two fluid model. Phys. Fluids. 7:1995;2407.
    • (1995) Phys. Fluids , vol.7 , pp. 2407
    • Nazarenko, S.1    Zabusky, N.J.2    Scheidegger, T.3
  • 37
    • 34250447917 scopus 로고
    • Stability of periodic waves of finite amplitude on a surface of deep fluid
    • Zakharov V.E., Stability of periodic waves of finite amplitude on a surface of deep fluid. J. Appl. Mech. Tech. Phys. 2:1967;190-198.
    • (1967) J. Appl. Mech. Tech. Phys. , vol.2 , pp. 190-198
    • Zakharov, V.E.1
  • 38
    • 0019368843 scopus 로고
    • Hamiltonian formulations for surface waves
    • Miles J.W., Hamiltonian formulations for surface waves. Appl. Sci. Res. 37:1981;103-110.
    • (1981) Appl. Sci. Res. , vol.37 , pp. 103-110
    • Miles, J.W.1
  • 41
    • 2342508836 scopus 로고
    • On the nonlinear energy transfer in a gravity wave spectrum. Part I. General theory
    • Hasselmann K., On the nonlinear energy transfer in a gravity wave spectrum. Part I. General theory. J. Fluid Mech. 12:1962;481.
    • (1962) J. Fluid Mech. , vol.12 , pp. 481
    • Hasselmann, K.1
  • 42
    • 0002984051 scopus 로고
    • On the nonlinear energy transfer in a gravity wave spectrum. Part II. Conservation theorems, wave-particle analogy, irreversibility
    • 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) 324.
    • (1962) J. Fluid Mech. , vol.15 , pp. 324
    • Hasselmann, K.1
  • 43
    • 0000656085 scopus 로고
    • Nonlinear interaction of random waves in a dispersive medium
    • Benney D.J., Saffmann P., Nonlinear interaction of random waves in a dispersive medium. Proc. R. Soc. 289:1966;301-320.
    • (1966) Proc. R. Soc. , vol.289 , pp. 301-320
    • Benney, D.J.1    Saffmann, P.2
  • 45
    • 0001435083 scopus 로고
    • The instability of waves in nonlinear dispersive media
    • Zakharov V.E., The instability of waves in nonlinear dispersive media. Sov. Phys. JETP. 24(4):1967;740-744.
    • (1967) Sov. Phys. JETP , vol.24 , Issue.4 , pp. 740-744
    • Zakharov, V.E.1
  • 48
    • 0004511516 scopus 로고    scopus 로고
    • A one-dimensional model for dispersive wave turbulence
    • Majda A.J., McLaughlin D.W., Tabak E.G., A one-dimensional model for dispersive wave turbulence. J. Nonlin. Sci. 6:1997;9-44.
    • (1997) J. Nonlin. Sci. , vol.6 , pp. 9-44
    • Majda, A.J.1    McLaughlin, D.W.2    Tabak, E.G.3
  • 50
    • 0001625539 scopus 로고
    • On the physical realizability of anisotropic Kolmogorov spectra of weak turbulence
    • Balk A., Nazarenko S., On the physical realizability of anisotropic Kolmogorov spectra of weak turbulence. Sov. Phys. JETP. 70:1990;1031.
    • (1990) Sov. Phys. JETP , vol.70 , pp. 1031
    • Balk, A.1    Nazarenko, S.2
  • 52
    • 0001580862 scopus 로고
    • Inverse cascade and wave condensate in mesoscale atmospheric turbulence
    • Falkovich G., Inverse cascade and wave condensate in mesoscale atmospheric turbulence. Phys. Rev. Lett. 69:1992;3173-3176.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 3173-3176
    • Falkovich, G.1


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