System of Boundary Layer Equations for a Rheologically Complicated Medium: Crocco Variables


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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.

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R. Bulatova

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

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Email: regina.bulatova@mech.math.msu.su
俄罗斯联邦, Moscow, 119991

V. Samokhin

Moscow Polytechnic University

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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

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Email: chechkin@mech.math.msu.su
俄罗斯联邦, Moscow, 119991; Ufa, Bashkortostan, 450000

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