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One-dimensional dynamics of zonal jets on rapidly rotating spherical shells. (English) Zbl 1050.76057
From the summary: We derive a one-dimensional dynamical model which represents the evolution of mean zonal flow on a rapidly rotating spherical shell. This model is discussed and analyzed with reference to large-scale jet dynamics observed in geophysical and astrophysical systems. The reduced amplitude equation is obtained from a base model consisting of an equatorially forced Kolmogorov flow through application of an asymptotic expansion augmented by a closure hypothesis. This method of derivation allows one to generalize previous \(\beta\)-plane results obtained in the limit of weakly supercritical Reynold’s number by expanding the parameter range covered by the reduced model and by incorporating the effects of sphericity.

76U05 General theory of rotating fluids
86A05 Hydrology, hydrography, oceanography
86A10 Meteorology and atmospheric physics
85A30 Hydrodynamic and hydromagnetic problems in astronomy and astrophysics
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