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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.

MSC:
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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