Important Remarks on the Description of Baroclinic Geophysical Flows

  • Felix V. Dolzhansky
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 103)


Using the quasi-hydrostatic relation, atmospheric motion can be described in a coordinate system where the pressure p is chosen to be an independent vertical coordinate, while the height z=z(x,y,p,t) of an isobaric surface p=const becomes a dependent variable. Without going into technicalities of calculations (see Thompson, 1962), let us write the equations of a rotating compressible baroclinic fluid in these new independent variables x, y, p, t.


Potential Vorticity Geostrophic Wind Integral Invariant Horizontal Boundary Annular Channel 
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  2. A.S. Monin and A.M. Yaglom, Statistical Hydromechanics, vol. 1, Gidrometeoizdat, St.-Petersburg, 1992 (in English: Statistical Fluid Mechanics: Mechanics of Turbulence, Dover, New York, 2007). Google Scholar
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  4. Ph.D. Thompson, Numerical Weather Analysis and Prediction, MacMillan, London, 1961. Google Scholar

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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Felix V. Dolzhansky
    • 1
  1. 1.

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