Asymptotic multiscale solutions to Navier–Stokes equations with fast oscillating perturbations in boundary layers
A problem of a nonstationary incompressible viscous fluid ow along a plate with small fast-oscillating irregularities on the surface for a large Reynolds number is considered by using rigorous methods of mathematical physics. Depending on the scales of irregularities in the problem under study, there arises a solution that describes the double-deck or triple-deck structure boundary layers on the plate. In the paper, we present a rigorous approach to the solution construction. It appears that, despite the long year history, the triple-deck theory should be revised and the well-known Benjamin-Ono equation does not appear in this theory.