Toy Model for General Circulation of a Viscous Atmosphere

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


Thus, a heavy top in the field of Coriolis forces can be regarded as a mechanical prototype of the atmospheres of rotating planets: it reproduces the baroclinic mechanism of the Eady instability, the energy framework and stability regions of the fundamental regimes of Hadley and Rossby, the reverse convective Ferrel cell, the few-component turbulence and unpredictability of global geophysical flows. It also reproduces the coexistence of fundamentally different modes of motion and nonzero probability of mutual transitions from one metastable dynamical state to another, which are unmotivated from outside (the latter phenomenon is of particular interest to climatologists).


Critical Curve Annular Channel Taylor Number Vertical Vorticity External Heat Source 
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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Felix V. Dolzhansky
    • 1
  1. 1.

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