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Nonlinear internal gravity waves in a slowly varying medium

Published online by Cambridge University Press:  29 March 2006

R. Grimshaw
Affiliation:
University of Melbourne

Abstract

Nonlinear internal gravity waves in an inviscid incompressible fluid are discussed for the case when the properties of the medium vary slowly on a scale determined by the local wave structure. A two-time-scale technique is used to obtain transport equations which describe the slowly varying modulations of the waves. Various solutions of these transport equations are discussed.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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References

Bisshopp, F. 1969 J. Diff. Equations, 5, 592605.
Bretherton, F. P. 1966 Quart. J. Roy. Met. Soc. 92, 466480.
Bretherton, F. P. 1969 J. Fluid Mech. 36, 785803.
Bretherton, F. P. 1970 J. Fluid Mech. 44, 1931.
Bretherton, F. P. & Garrett, C. I. R. 1969 Proc. Roy. Soc A 302, 529554.
Drazin, P. G. 1969 J. Fluid Mech. 36, 433446.
Garrett, C. I. R. 1968 J. Fluid Mech. 34, 711720.
Houghton, D. D. & Jones, W. L. 1969 J. Comp. Phys. 3, 339357.
Jones, W. L. & Houghton, D. D. 1971 J. Atmos. Sci. 28, 604608.
Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
Lighthill, M. J. 1965 J. Inst. Maths. Applics. 1, 128.
Lindzen, R. S. & Holton, J. R. 1968 J. Atmos. Sci. 25, 10951107.
Moffatt, H. K. 1969 J. Fluid Mech. 35, 117129.
Phillips, O. M. 1969 The Dynamics of the Upper Ocean. Cambridge University Press.
Parity, B. S. H. 1969 J. Fluid Mech. 39, 495509.
Seliger, R. L. & Whitham, G. B. 1968 Proc. Roy. Soc A 305, 125.
Whitham, G. B. 1967 Proc. Roy. Soc A 299, 625.
Whitham, G. B. 1970 J. Fluid Mech. 44, 373395.