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System of Equations for the Marangoni Boundary Layer in Media with Ladyzhenskaya Rheological Law

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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.

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Funding

This work was supported by the Russian Science Foundation, project no. 20-11-20272.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119991, Moscow, Russia

    M. A. Kisatov

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  1. M. A. Kisatov
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Correspondence to M. A. Kisatov.

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Translated by I. Ruzanova

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Kisatov, M.A. System of Equations for the Marangoni Boundary Layer in Media with Ladyzhenskaya Rheological Law. Dokl. Math. 103, 130–132 (2021). https://doi.org/10.1134/S1064562421030091

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  • DOI: https://doi.org/10.1134/S1064562421030091

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