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A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow. (English) Zbl 0899.76105
Summary: A simple two-dimensional model for quasigeostrophic flow is contrasted with the two-dimensional incompressible Euler equations. The model arises under the assumptions of fast rotation, uniform stratification and uniform potential vorticity. It is found that the more local feedback of the quasigeostrophic model gives rise to strongly nonlinear front formation, as opposed to two-dimensional Euler, where the steepening process of mature fronts obeys a nonlocal, nearly linear mechanism.
MSC:
76B99Incompressible inviscid fluids, potential theory
86A05Hydrology, hydrography, oceanography
86A10Meteorology and atmospheric physics