Scale-Dependent Models for Atmospheric Flows

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Mathematical and physical ideas for climate science (2013, methodology): “We leave almost entirely out of this review very important topics such as extreme value theory (Ghil et al., 2011), multiscale techniques (Klein, 2010), adjoint methods and data assimilation (Wunsch, 2012), partial different equations (Cullen, 2006), linear and nonlinear stability analysis (Vallis,…”
The physics of climate variability and climate change (2019, background): “…for a particular type of motion are estimated by dimensional analysis (Barenblatt, 1987), and various classes of simplified equations have been derived by considering distinct asymptotic regimes in the associated scales (Ghil and Childress, 1987; Klein, 2010; McWilliams, 2006; Pedlosky, 1987).”
Challenges in Climate Science and Contemporary Applied Mathematics (2012, background): “(i) Multiscale formulation: A multiscale physical/mathematical formulation into larger-scale mean and smaller-scale fluctuating components in spacetime (for examples, see [69, 80, 106, 129] and references therein).”
Stochastic climate theory and modeling (2015, unknown): “Climate is a multi-scale system in which diﬀerent physical processes act on diﬀerent temporal and spatial scales 69 .”