Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 1, Pages 11–20
DOI: https://doi.org/10.55959/vmumm4584 (Mi vmumm4584) 		 
Mathematics

Nonclassical problems of the mathematical theory of hydrodynamic boundary layer

V. N. Samokhina, G. A. Chechkinb

a Moscow Polytechnic University
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow
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DOI: https://doi.org/10.55959/vmumm4584
Abstract: Nonclassical problems in mathematical hydrodynamics arise when studying the motion of rheologically complex media, as well as under boundary conditions different from classical ones. In this paper, existence and uniqueness theorems are established for the classical solution to the problem of a stationary boundary layer of a liquid with the rheological law of O. A. Ladyzhenskaya near a solid wall with given conditions characterizing the force of surface tension and the phenomenon of slipping near this wall.
Key words: slip condition, boundary layer, Mises variables, maximum principle, viscous fluid, rheological equation, O. A. Ladyzhenskaya model of a viscous medium.
Funding agency Grant number
Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan AP14869553
Russian Science Foundation 20-11-20272-П
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-284
Received: 13.05.2023
English version:
Moscow University Mathematics Bulletin, 2024, Volume 79, Issue 1, Pages 11–21
DOI: https://doi.org/10.3103/S0027132224700025
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: V. N. Samokhin, G. A. Chechkin, “Nonclassical problems of the mathematical theory of hydrodynamic boundary layer”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1, 11–20; Moscow University Mathematics Bulletin, 79:1 (2024), 11–21
Citation in format AMSBIB
\Bibitem{SamChe24}
\by V.~N.~Samokhin, G.~A.~Chechkin
\paper Nonclassical problems of the mathematical theory of hydrodynamic boundary layer
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 1
\pages 11--20
\mathnet{http://mi.mathnet.ru/vmumm4584}
\crossref{https://doi.org/10.55959/vmumm4584}
\elib{https://elibrary.ru/item.asp?id=62487625}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2024
\vol 79
\issue 1
\pages 11--21
\crossref{https://doi.org/10.3103/S0027132224700025}
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