Summary
It is shown that in laterally bounded two-layer models of the atmosphere the only permissible meridional variation of the wave solutions is of the form sin(π/D)γ whereD is the lateral width.
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References
N. Phillips,Energy transformations and meridional circulations associated with simple baroclinic waves in a two-level quasi-geostrophic model, Tellus6 (1954), 273–286.
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Tang, CM. On the meridional form of baroclinic waves in a two-layer quasi-geostrophic model. PAGEOPH 99, 150–155 (1972). https://doi.org/10.1007/BF00875273
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DOI: https://doi.org/10.1007/BF00875273