5. Davidson, P. A., Staplehurst, P. J., & Dalziel, S. B. (2006). On the evolution of eddies in a
rapidly rotating system. Journal of Fluid Mechanics, 557, 135–144.
6. Gerkema, T., Zimmerman, J. T. F., Maas, L. R. M., & van Haren, H. (2008). Geophysical and
astrophysical fluid dynamics beyond the traditional approximation. Reviews of Geophysics,
46, RG2004.
7. Gerkema, T., & Shrira, V. I. (2005). Near-inertial waves in the ocean: Beyond the traditional
approximation. Journal of Fluid Mechanics, 529, 195–219.
8. Greenspan, H. P. (1968). Theory of rotating fluids. Cambridge University Press.
9. Il’in, A. M. (1970). Asymptotic properties of a solution of a boundary-value problem.
Mathematical Notes, 8, 625–632.
10. Il’in, A. M. (1972). On the behaviour of the solution of a boundary-value problem when
t → ∞. Mathematics of the USSR-Sbornik, 16, 545–572.
11. Kamenkovich, V. M. (1977). Fundamentals of ocean dynamics. Amsterdam: Elsevier.
12. Kamenkovich, V. M., & Kamenkovich, I. V. (1993). On the evolution of Rossby waves,
generated by wind stress in a closed basin, incorporating total mass conservation. Dynamics of
Atmospheres and Oceans, 18, 67–103.
13. Kasahara, A. (2003). The roles of the horizontal component of the Earth’s angular velocity in
nonhydrostatic linear models. Journal of the Atmospheric Sciences, 60, 1085–1095.
14. Klein, P., & Llewellyn-Smith, S. (2001). Horizontal dispersion of near-inertial oscillations in
a turbulent mesoscale eddy field. Journal of Marine Research, 59, 697–723.
15. Klein, P., Llewellyn-Smith, S., & Lapeyre, G. (2004). Organization of near-inertial energy by
an eddy field. Quarterly Journal of the Royal Meteorological Society, 130, 1153–1166.
16. Kochin, N. E., Kibel, L. A., & Rose, N. V. (1964). Theoretical hydromechanics. New York:
Wiley-Interscience.
17. Kunze, E. (1985). Near-inertial wave propagation in geostrophic shear. Journal of Physical
Oceanography, 15, 544–565.
18. LeBlond, P. H., & Mysak, L. A. (1978). Waves in the ocean. Amsterdam: Elsevier.
19. Miropol’sky, Y. Z. (2001). Dynamics of internal gravity waves in the ocean. Dordrecht:
Kluwer.
20. Reznik, G. M. (2013). Linear dynamics of a stably-neutrally stratified ocean. Journal of
Marine Research, 71, 253–288.
21. Reznik, G. M. (2014). Geostrophic adjustment with gyroscopic waves: Barotropic fluid
without traditional approximation. Journal of Fluid Mechanics, 743, 585–605.
22. Reznik, G. M. (2014). Geostrophic adjustment with gyroscopic waves: stably-neutrally stratified
fluid without the traditional approximation. Journal of Fluid Mechanics, 747, 605–634.
23. Reznik, G. M. (2015). Wave adjustment: general concept and examples. Journal of Fluid
Mechanics, 779, 514–543.
24. Reznik, G. M., Zeitlin, V., & Ben Jelloul, M. (2001). Nonlinear theory of geostrophic
adjustment. Part 1 rotating shallow-water model. Journal of Fluid Mechanics, 445, 93–120.
25. Staplehurst, P. J., Davidson, P. A., & Dalziel, S. B. (2008). Structure formation in
homogeneous freely decaying turbulence. Journal of Fluid Mechanics, 598, 81–105.
26. Timmermans, M. L., Melling, H., & Rainville, L. (2007). Dynamics in the Deep Canada
Basin, Arctic Ocean, inferred by thermistor chain time series. Journal of Physical
Oceanography, 37, 1066–1076.
27. van Haren, H., & Millot, C. (2005). Gyroscopic waves in the Mediterranean Sea. Geophysical
Research Letters, 32, L24614.
28. Young, W. R., & Ben Jelloul, M. (1997). Propagation of near-inertial oscillations through a
geostrophic flow. Journal of Marine Research, 55, 735–766.
29. Zeitlin, V., Reznik, G. M., & Ben Jelloul, M. (2003). Nonlinear theory of geostrophic
adjustment. Part 2. Two-layer and continuously stratified primitive equations. Journal of
Fluid Mechanics, 491, 207–228.
Geostrophic Adjustment Beyond the Traditional Approximation
331
rapidly rotating system. Journal of Fluid Mechanics, 557, 135–144.
6. Gerkema, T., Zimmerman, J. T. F., Maas, L. R. M., & van Haren, H. (2008). Geophysical and
astrophysical fluid dynamics beyond the traditional approximation. Reviews of Geophysics,
46, RG2004.
7. Gerkema, T., & Shrira, V. I. (2005). Near-inertial waves in the ocean: Beyond the traditional
approximation. Journal of Fluid Mechanics, 529, 195–219.
8. Greenspan, H. P. (1968). Theory of rotating fluids. Cambridge University Press.
9. Il’in, A. M. (1970). Asymptotic properties of a solution of a boundary-value problem.
Mathematical Notes, 8, 625–632.
10. Il’in, A. M. (1972). On the behaviour of the solution of a boundary-value problem when
t → ∞. Mathematics of the USSR-Sbornik, 16, 545–572.
11. Kamenkovich, V. M. (1977). Fundamentals of ocean dynamics. Amsterdam: Elsevier.
12. Kamenkovich, V. M., & Kamenkovich, I. V. (1993). On the evolution of Rossby waves,
generated by wind stress in a closed basin, incorporating total mass conservation. Dynamics of
Atmospheres and Oceans, 18, 67–103.
13. Kasahara, A. (2003). The roles of the horizontal component of the Earth’s angular velocity in
nonhydrostatic linear models. Journal of the Atmospheric Sciences, 60, 1085–1095.
14. Klein, P., & Llewellyn-Smith, S. (2001). Horizontal dispersion of near-inertial oscillations in
a turbulent mesoscale eddy field. Journal of Marine Research, 59, 697–723.
15. Klein, P., Llewellyn-Smith, S., & Lapeyre, G. (2004). Organization of near-inertial energy by
an eddy field. Quarterly Journal of the Royal Meteorological Society, 130, 1153–1166.
16. Kochin, N. E., Kibel, L. A., & Rose, N. V. (1964). Theoretical hydromechanics. New York:
Wiley-Interscience.
17. Kunze, E. (1985). Near-inertial wave propagation in geostrophic shear. Journal of Physical
Oceanography, 15, 544–565.
18. LeBlond, P. H., & Mysak, L. A. (1978). Waves in the ocean. Amsterdam: Elsevier.
19. Miropol’sky, Y. Z. (2001). Dynamics of internal gravity waves in the ocean. Dordrecht:
Kluwer.
20. Reznik, G. M. (2013). Linear dynamics of a stably-neutrally stratified ocean. Journal of
Marine Research, 71, 253–288.
21. Reznik, G. M. (2014). Geostrophic adjustment with gyroscopic waves: Barotropic fluid
without traditional approximation. Journal of Fluid Mechanics, 743, 585–605.
22. Reznik, G. M. (2014). Geostrophic adjustment with gyroscopic waves: stably-neutrally stratified
fluid without the traditional approximation. Journal of Fluid Mechanics, 747, 605–634.
23. Reznik, G. M. (2015). Wave adjustment: general concept and examples. Journal of Fluid
Mechanics, 779, 514–543.
24. Reznik, G. M., Zeitlin, V., & Ben Jelloul, M. (2001). Nonlinear theory of geostrophic
adjustment. Part 1 rotating shallow-water model. Journal of Fluid Mechanics, 445, 93–120.
25. Staplehurst, P. J., Davidson, P. A., & Dalziel, S. B. (2008). Structure formation in
homogeneous freely decaying turbulence. Journal of Fluid Mechanics, 598, 81–105.
26. Timmermans, M. L., Melling, H., & Rainville, L. (2007). Dynamics in the Deep Canada
Basin, Arctic Ocean, inferred by thermistor chain time series. Journal of Physical
Oceanography, 37, 1066–1076.
27. van Haren, H., & Millot, C. (2005). Gyroscopic waves in the Mediterranean Sea. Geophysical
Research Letters, 32, L24614.
28. Young, W. R., & Ben Jelloul, M. (1997). Propagation of near-inertial oscillations through a
geostrophic flow. Journal of Marine Research, 55, 735–766.
29. Zeitlin, V., Reznik, G. M., & Ben Jelloul, M. (2003). Nonlinear theory of geostrophic
adjustment. Part 2. Two-layer and continuously stratified primitive equations. Journal of
Fluid Mechanics, 491, 207–228.
Geostrophic Adjustment Beyond the Traditional Approximation
331