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Three-dimensional centrifugal-type instabilities in inviscid two- dimensional flows. (English) Zbl 0651.76018

The author extends the classical Rayleigh centrifugal instability theory to general inviscid two-dimensional flows, whose streamlines are convex closed curves with the magnitude of the circulation decreasing outward. Thus, a class of three-dimensional short-wave instabilities can be constructed, which are localized near the streamline cylinder.

MSC:

76E05 Parallel shear flows in hydrodynamic stability
35Q99 Partial differential equations of mathematical physics and other areas of application
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