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Regular version of the site

Article

Existence of the Stationary Solution of a Rayleigh-Type Equation

Mathematical notes. 2016. Vol. 99. No. 5. P. 636-642.
Gaydukov R. K., Borisov D. I.

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.