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Transition modes of rotating shallow water waves in a channel. (English) Zbl 0842.76090
Normal modes of shallow water waves in a channel wherein the Coriolis parameter and the depth vary in the spanwise direction are investigated based on the conservation of the number of zeros in an eigenfunction. As a result, it is generally shown that the condition for transition modes (Kelvin modes and mixed Rossby-gravity modes) to exist, besides Rossby and Poincaré modes, is determined only by boundary conditions.

76U05 General theory of rotating fluids
86A05 Hydrology, hydrography, oceanography
Full Text: DOI
[1] Reid, J. Mar. Res. 16 pp 109– (1958)
[2] DOI: 10.1175/1520-0469(1968)025 2.0.CO;2 · doi:10.1175/1520-0469(1968)025 · doi:2.0.CO;2
[3] Mysak, J. Mar. Res. 26 pp 24– (1968)
[4] Matsuno, J. Met. Soc. Japan 44 pp 25– (1966)
[5] Longuet-Higgins, Phil. Trans. R. Soc. Lond. A 262 pp 511– (1968)
[6] Iga, J. Fluid Mech. 255 pp 213– (1993)
[7] Huthnance, J. Fluid Mech. 69 pp 689– (1975)
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