Abstract

A method for the asymptotic description of one of the mechanisms by which fluctuations develop in plane Couette–Poiseuille flow at high Reynolds numbers is proposed. The class of wave perturbations of comparatively high amplitude which obey the linear Korteweg–de Vries equation despite the general non-linear multistage asymptotic structure of the flow field is indicated. The evolution of a localized perturbation and its conversion into a wave packet is considered.

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