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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 498, Pages 41–44
DOI: https://doi.org/10.31857/S2686954321030097 (Mi danma174) 		 
This article is cited in 2 scientific papers (total in 2 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
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DOI: https://doi.org/10.31857/S2686954321030097
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.
Funding agency Grant number
Russian Science Foundation 20-11-20272
This work was supported by the Russian Science Foundation, project no. 20-11-20272.
Presented: V. V. Kozlov
Received: 25.01.2021
Revised: 19.03.2021
Accepted: 21.03.2021
English version:
Doklady Mathematics, 2021, Volume 103, Issue 3, Pages 130–132
DOI: https://doi.org/10.1134/S1064562421030091
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: M. A. Kisatov, “System of equations for the Marangoni boundary layer in media with Ladyzhenskaya rheological law”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021), 41–44; Dokl. Math., 103:3 (2021), 130–132
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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