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Singular front formation in a model for quasigeostrophic flow. (English) Zbl 0826.76014
Summary: A two-dimensional model for quasigeostrophic flow which exhibits an analogy with the three-dimensional incompressible Euler equations is considered. Numerical experiments show that this model develops sharp fronts without the need to explicitly incorporate any ageostrophic effect. Furthermore, these fronts appear to become singular in finite time. The numerical evidence for singular behavior survives the tests of rigorous mathematical criteria.

76B99 Incompressible inviscid fluids
86A05 Hydrology, hydrography, oceanography
Full Text: DOI
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