Validity of the One and One-Half Layer Quasi-Geostrophic Model and Effective Topography
We rigorously justify the so-called one and one-half layer quasi-geostrophic model from the two layer model as the ratio of the depth of the bottom layer over that of the top layer approaches infinity. the effective dynamics is given by the classical barotropic quasi-geostrophic dynamics for the bottom layer without topography, and the one layer quasi-geostrophic dynamics with the stream function of the bottom layer serving as an effective (possibly time-dependent) topography for the the top layer. Such a one and one-half layer model is utilized in successful quantitative prediction of the Great Red Spot on Jupiter (see Turkington et al., 2001). Copyright © Taylor & Francis, Inc.
A. Majda and X. Wang, "Validity of the One and One-Half Layer Quasi-Geostrophic Model and Effective Topography," Communications in Partial Differential Equations, vol. 30, no. 7 thru 9, pp. 1305 - 1314, Taylor and Francis Group; Taylor and Francis, Nov 2005.
The definitive version is available at https://doi.org/10.1080/03605300500258782
Mathematics and Statistics
Keywords and Phrases
Effective Topography; One and One-Half Layer Model; Quasi-Geostrophic Model; Two-Layer Model
International Standard Serial Number (ISSN)
Article - Journal
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23 Nov 2005