Email this article Equations of Symmetric Boundary Layer for the Ladyzhenskaya Model of a Viscous Medium in the Crocco Variables
- Authors: Bulatova R.R.1, Samokhin V.N.2, Chechkin G.A.1,3
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Affiliations:
- Lomonosov Moscow State University
- Moscow Politechnic University
- Institute of Mathematics with Computing Centre
- Issue: Vol 242, No 1 (2019)
- Pages: 85-118
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242955
- DOI: https://doi.org/10.1007/s10958-019-04468-7
- ID: 242955
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Abstract
We consider the system of boundary layer equations governing a viscous medium subject to the nonlinear rheological law in the sense of Ladyzhenskaya. Owing to the use of the Crocco transformation for reducing the system to a single quasilinear equation, it becomes possible to study both stationary and nonstationary boundary layers. We obtain asymptotic estimates for the solution.
About the authors
R. R. Bulatova
Lomonosov Moscow State University
Email: chechkin@mech.math.msu.su
Russian Federation, Moscow, 119991
V. N. Samokhin
Moscow Politechnic University
Email: chechkin@mech.math.msu.su
Russian Federation, 2A Pryanishnikova St., Moscow, 127550
G. A. Chechkin
Lomonosov Moscow State University; Institute of Mathematics with Computing Centre
Author for correspondence.
Email: chechkin@mech.math.msu.su
Russian Federation, Moscow, 119991; 112, Chernyshevskogo St., Ufa, 450008
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