Abstract
As we mentioned above, in a moving baroclinic medium isobaric and isopycnic (or iso-density) surfaces usually do not match. Recall that in the case of an incompressible baroclinic fluid its density and pressure are independent quantities, while the density of the baroclinic gas depends not only on pressure, but on yet one more thermodynamical quantity, for instance on the potential temperature Θ, i.e., ρ=ρ(p,Θ). (I would like to emphasize yet again that for the sake of simplicity, the possibility of phase transitions in the medium is not considered here, so there are only two independent thermodynamical variables.) Denote by the index s equilibrium distributions of thermodynamical quantities, which describe the medium state in the absence of relative motions, and use them as the background characteristics of the medium, while its motion is a deviation from this background.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
A.E. Gill, Atmosphere-Ocean Dynamics, Academic Press, San Diego, 1982.
J. Pedlosky, Geophysical Fluid Dynamics, Springer, Berlin, 1987.
R. Salmon, Lectures on Geophysical Fluid Dynamics, Oxford University Press, Oxford, 1998.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Dolzhansky, F.V. (2013). Equations of Quasi-geostrophic Baroclinic Motion. In: Fundamentals of Geophysical Hydrodynamics. Encyclopaedia of Mathematical Sciences, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31034-8_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-31034-8_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31033-1
Online ISBN: 978-3-642-31034-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)