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Critical layers in shear flows. (English) Zbl 0634.76046
Annu. Rev. Fluid Mech. 18, 405-432 (1986).
[For the entire collection see Zbl 0591.00022.]
The emphasis in this review has been on nonlinear aspects of critical- layer theory a reflection of recent developments in the field, as well as an acknowledgment that many phenomena of practical importance such as boundary-layer transition are inherently nonlinear. Both steady, nonlinear waves and (at the opposite extreme) critical layers originating from linear, initial values analyses have been discussed. Different balances between time-dependence, nonlinearity, and diffusive effects were seen to lead to a variety of amplitude-evolution equations. The relationships between different amplitude equations and their associations with specific physical processes still need to be clarified in some cases.

MSC:
76E05 Parallel shear flows in hydrodynamic stability
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics