Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 191, Pages 10–15
DOI: https://doi.org/10.36535/0233-6723-2021-191-10-15 (Mi into761) 		 
Unsteady boundary layer of a modified viscous fluid

R. R. Bulatova

Lomonosov Moscow State University
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DOI: https://doi.org/10.36535/0233-6723-2021-191-10-15
Abstract: In this paper, a system of equations for a nonstationary, symmetric boundary layer of a nonlinearly viscous, incompressible fluid is studied. By using the Crocco transformation, we reduce the boundary-layer system to a single quasilinear degenerate parabolic equation. The unique solvability of the main boundary-value problem is proved.
Keywords: boundary layer, unsteady flow, Crocco variables, modified Ladyzhenskaya fluid.
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 288, Issue 6, Pages 676–681
DOI: https://doi.org/10.1007/s10958-025-07758-5
Document Type: Article
UDC: 517.956.45
MSC: 34B15
Language: Russian
Citation: R. R. Bulatova, “Unsteady boundary layer of a modified viscous fluid”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 191, VINITI, Moscow, 2021, 10–15; J. Math. Sci. (N. Y.), 288:6 (2025), 676–681
Citation in format AMSBIB
\Bibitem{Bul21}
\by R.~R.~Bulatova
\paper Unsteady boundary layer of a modified viscous fluid
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 191
\pages 10--15
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into761}
\crossref{https://doi.org/10.36535/0233-6723-2021-191-10-15}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 288
\issue 6
\pages 676--681
\crossref{https://doi.org/10.1007/s10958-025-07758-5}
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