Email this article System of Boundary Layer Equations for a Rheologically Complicated Medium: Crocco Variables
- Authors: Bulatova R.R.1, Samokhin V.N.2, Chechkin G.A.1,3
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Affiliations:
- Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
- Moscow Polytechnic University
- Institute of Mathematics and Computing Center, Ufa Scientific Center, Russian Academy of Sciences
- Issue: Vol 100, No 1 (2019)
- Pages: 332-338
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225689
- DOI: https://doi.org/10.1134/S1064562419040045
- ID: 225689
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Abstract
The system of boundary-layer equations for a nonlinear generalized Newtonian viscous fluid with the Ladyzhenskaya law is studied. The correct solvability of the problem under study is proved using the Crocco transformation method, which reduces the system of boundary-layer equations to a quasilinear degenerate parabolic equation. Asymptotic estimates for the solution on the boundary of the domain are obtained.
About the authors
R. R. Bulatova
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
Author for correspondence.
Email: regina.bulatova@mech.math.msu.su
Russian Federation, Moscow, 119991
V. N. Samokhin
Moscow Polytechnic University
Author for correspondence.
Email: vnsamokhin@mtu-net.ru
Russian Federation, Moscow, 127550
G. A. Chechkin
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University; Institute of Mathematics and Computing Center, Ufa Scientific Center, Russian Academy of Sciences
Author for correspondence.
Email: chechkin@mech.math.msu.su
Russian Federation, Moscow, 119991; Ufa, Bashkortostan,
450000
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