This article is cited in 3 papers

MATHEMATICS

System of equations for the Marangoni boundary layer in media with Ladyzhenskaya rheological law

M. A. Kisatov

Lomonosov Moscow State University, Moscow, Russia

Abstract: A system of equations describing boundary layers of nonlinear generalized Newtonian viscous fluids with the Ladyzhenskaya rheological law is studied. The well-posedness of the stated problem is proved by applying the von Mises transformation method, which transforms the system of boundary layer equations into a quasilinear degenerate parabolic equation.

Keywords: von Mises transformation, Marangoni boundary layer, rheology, non-Newtonian media.

UDC: 517.946

Presented: V. V. Kozlov
Received: 25.01.2021
Revised: 19.03.2021
Accepted: 21.03.2021

DOI: 10.31857/S2686954321030097

 English version: Doklady Mathematics, 2021, 103:3, 130–132

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