Отправить статью по E-mail System of Boundary Layer Equations for a Rheologically Complicated Medium: Crocco Variables
- Авторы: Bulatova R.R.1, Samokhin V.N.2, Chechkin G.A.1,3
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Учреждения:
- 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
- Выпуск: Том 100, № 1 (2019)
- Страницы: 332-338
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225689
- DOI: https://doi.org/10.1134/S1064562419040045
- ID: 225689
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Аннотация
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.
Об авторах
R. Bulatova
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
Автор, ответственный за переписку.
Email: regina.bulatova@mech.math.msu.su
Россия, Moscow, 119991
V. Samokhin
Moscow Polytechnic University
Автор, ответственный за переписку.
Email: vnsamokhin@mtu-net.ru
Россия, 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
Автор, ответственный за переписку.
Email: chechkin@mech.math.msu.su
Россия, Moscow, 119991; Ufa, Bashkortostan,
450000
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