Аннотация:
A fluid flow along a semi-infinite plate with small periodic irregularities on the surface is considered for large Reynolds numbers. The boundary layer has a double-deck structure: a thin boundary layer (“lower deck”) and a classical Prandtl boundary layer (“upper deck”). The aim of this paper is to prove the existence and uniqueness of the stationary solution of a Rayleigh-type equation, which describes oscillations of the vertical velocity component in the classical boundary layer.
The work of D. I. Borisov was supported by the Russian Foundation for Basic Research under grant 15-31-20037-mol_ved_a and that of R. K. Gaydukov by the Basic Research Program of the National Research University
Higher School of Economics.