Email this article System of equations for boundary layer of rheologically complex media. 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 Polytechnic University
- Institute of Mathematics with Computer Center of the Ufa Science Center of the Russian Academy of Sciences
- Issue: Vol 487, No 2 (2019)
- Pages: 119-125
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/15453
- DOI: https://doi.org/10.31857/S0869-56524872119-125
- ID: 15453
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Abstract
In the paper one studies the system of equations of the boundary layer of nonlinearly viscous fluid with the O. A. Ladyzhenskaya law. Previously, these equations were considered, the Mises transform allows to reduce the system of equations to a single quasilinear equation. In this work, we use the Crocco variables, which transform the system of equations of the boundary layer into a quasilinear degenerate parabolic equation. In contrast to the Mises variables, the Crocco transformation allows one to study both stationary and non-stationary equations; moreover, it makes it possible to obtain asymptotic estimates for the solution on the boundary of the domain.
About the authors
R. R. Bulatova
Lomonosov Moscow State University
Author for correspondence.
Email: regina.bulatova@mech.math.msu.su
Russian Federation, 1, Leninskie gory, Moscow, 119991
V. N. Samokhin
Moscow Polytechnic University
Email: vnsamokhin@mtu-net.ru
Russian Federation, 38, B.Semenovskaya street, Moscow, 107023
G. A. Chechkin
Lomonosov Moscow State University; Institute of Mathematics with Computer Center of the Ufa Science Center of the Russian Academy of Sciences
Email: chechkin@mech.math.msu.su
Russian Federation, 1, Leninskie gory, Moscow, 119991; 112, Chernyshevskogo street, Ufa, 450008
References
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