Email this article Existence of the stationary solution of a Rayleigh-type equation
- Authors: Borisov D.I.1,2,3, Gaydukov R.K.4
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Affiliations:
- Institute of Mathematics with Computer Center, Ufa Scientific Center
- Akhmulla Bashkir State Pedagogical University
- University of Hrádec Králové
- National Research University Higher School of Economics
- Issue: Vol 99, No 5-6 (2016)
- Pages: 636-642
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149381
- DOI: https://doi.org/10.1134/S0001434616050023
- ID: 149381
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Abstract
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.
About the authors
D. I. Borisov
Institute of Mathematics with Computer Center, Ufa Scientific Center; Akhmulla Bashkir State Pedagogical University; University of Hrádec Králové
Author for correspondence.
Email: borisovdi@yandex.ru
Russian Federation, Ufa; Ufa; Hrádec Králové
R. K. Gaydukov
National Research University Higher School of Economics
Email: borisovdi@yandex.ru
Russian Federation, Moscow
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