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.


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