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.
Keywords:
Kelvin modes; continental-shelf waves; equatorial waves; Coriolis parameter; eigenfunction; mixed Rossby-gravity modesReferences:
| [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 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) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
