Abstract
In this chapter, we describe various approximations of the governing equations of the atmosphere. Although the governing equations are shown in a general form in Chapter 1, they are not appropriate for describing particular motions on spatial or time scales; suitable approximations to the spatial or time scales of motions need to be considered. Approximate forms of the governing equations are constructed based on the fundamental balances of the atmosphere considered in Chapter 2 (i.e., hydrostatic balance and geostrophic balance).
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Satoh, M. (2014). Approximations of equations. In: Atmospheric Circulation Dynamics and General Circulation Models. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13574-3_3
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DOI: https://doi.org/10.1007/978-3-642-13574-3_3
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