Iga, Keita Transition modes of rotating shallow water waves in a channel. (English) Zbl 0842.76090 J. Fluid Mech. 294, 367-390 (1995). 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 PoincarĂ© modes, is determined only by boundary conditions. Cited in 1 ReviewCited in 2 Documents MSC: 76U05 General theory of rotating fluids 86A05 Hydrology, hydrography, oceanography Keywords:Kelvin modes; continental-shelf waves; equatorial waves; Coriolis parameter; eigenfunction; mixed Rossby-gravity modes PDF BibTeX XML Cite \textit{K. Iga}, J. Fluid Mech. 294, 367--390 (1995; Zbl 0842.76090) Full Text: DOI References: [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) 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.