System of Boundary Layer Equations for a Rheologically Complicated Medium: Crocco Variables
- 作者: Bulatova R.R.1, Samokhin V.N.2, Chechkin G.A.1,3
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隶属关系:
- 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
- 期: 卷 100, 编号 1 (2019)
- 页面: 332-338
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225689
- DOI: https://doi.org/10.1134/S1064562419040045
- ID: 225689
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详细
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.
作者简介
R. Bulatova
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: regina.bulatova@mech.math.msu.su
俄罗斯联邦, Moscow, 119991
V. Samokhin
Moscow Polytechnic University
编辑信件的主要联系方式.
Email: vnsamokhin@mtu-net.ru
俄罗斯联邦, Moscow, 127550
G. Chechkin
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University; Institute of Mathematics and Computing Center, Ufa Scientific Center, Russian Academy of Sciences
编辑信件的主要联系方式.
Email: chechkin@mech.math.msu.su
俄罗斯联邦, Moscow, 119991; Ufa, Bashkortostan,
450000
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