Nonlinear Dynamics in Geosciences
DOI: 10.1007/978-0-387-34918-3_12
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Self-Scaling of the Statistical Properties of a Minimal Model of the Atmospheric Circulation

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Cited by 4 publications
(5 citation statements)
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“…to the large-scale atmospheric dynamics at mid-latitudes. (Such assumptions are, however, at least questionable, see [47,48]). In this way, the quasi-geostrophic equations are obtained.…”
Section: Remarksmentioning
confidence: 99%
See 1 more Smart Citation
“…to the large-scale atmospheric dynamics at mid-latitudes. (Such assumptions are, however, at least questionable, see [47,48]). In this way, the quasi-geostrophic equations are obtained.…”
Section: Remarksmentioning
confidence: 99%
“…By a vertical discretization in two horizontal layers, the two-layer quasi-geostrophic model is derived (see e.g. [47,48]). From the two-layer quasi-geostrophic model, by using a Fourier expansion plus a Galerkin projection, one obtains a 6-dimensional ordinary differential equation [69].…”
Section: Remarksmentioning
confidence: 99%
“…By contrast, geophysical flows are stratified and rotational flows, where an inverse cascade of energy induces the bidimensionalization of motions and contributes to the formation of large-scale coherent structures (Pouquet and Marino, 2013). In laboratory experiments (Lamriben et al, 2011) and geophysical observations (Craig and Banner, 1994;Holmes et al, 1998) one aims at separating coherent and turbulent components and build theoretical models to describe the associated motions (Charney, 1971;Pitcher, 1977;Jiang et al, 1995;Lucarini et al, 2007). As pointed out by several authors (see Schertzer and Lovejoy (1991) for a review), this task is non-trivial because both the inverse and direct cascades coexist for geophysical motions.…”
Section: Introductionmentioning
confidence: 99%
“… the statistical properties, specifically extreme value statistics, of time‐series of total energy generated by a baroclinic model of intermediate complexity for the atmospheric mid‐latitudes (Felici et al, 2007a,b; Lucarini et al, 2007a,b); the description of wave propagation in the mid‐latitude atmosphere as simulated by a state‐of‐the‐art coupled GCMs (simulations for the IPCC report) and associated products such as reanalyses (Dell'Aquila et al, 2005; Ruti et al, 2006; Lucarini et al, 2007c). …”
Section: Introductionmentioning
confidence: 99%
“…the statistical properties, specifically extreme value statistics, of time‐series of total energy generated by a baroclinic model of intermediate complexity for the atmospheric mid‐latitudes (Felici et al, 2007a,b; Lucarini et al, 2007a,b);…”
Section: Introductionmentioning
confidence: 99%