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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 310, Pages 40–77
DOI: https://doi.org/10.4213/tm4121 (Mi tm4121) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On an Unsteady Boundary Layer of a Viscous Rheologically Complex Fluid

R. R. Bulatovaa, V. N. Samokhinb, G. A. Chechkinac

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia
b Moscow Polytechnic University, Bol'shaya Semenovskaya ul. 38, Moscow, 107023 Russia
c Institute of Mathematics with Computing Centre, Ufa Federal Research Centre of the Russian Academy of Sciences, ul. Chernyshevskogo 112, Ufa, 450008 Russia
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DOI: https://doi.org/10.4213/tm4121
Abstract: We consider a nonstationary Prandtl-type system of equations that describes the behavior of a boundary layer of a viscous incompressible fluid in the modification of O. A. Ladyzhenskaya. We prove an existence and uniqueness theorem both in Cartesian coordinates and in terms of the Crocco variables.
Funding agency Grant number
Russian Science Foundation 20-11-20272
This work is supported by the Russian Science Foundation under grant 20-11-20272.
Received: January 21, 2020
Revised: January 21, 2020
Accepted: May 22, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 310, Pages 32–69
DOI: https://doi.org/10.1134/S0081543820050041
Bibliographic databases:
Document Type: Article
UDC: 517.958:531.34+517.958:531.746.2
Language: Russian
Citation: R. R. Bulatova, V. N. Samokhin, G. A. Chechkin, “On an Unsteady Boundary Layer of a Viscous Rheologically Complex Fluid”, Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Trudy Mat. Inst. Steklova, 310, Steklov Math. Inst., Moscow, 2020, 40–77; Proc. Steklov Inst. Math., 310 (2020), 32–69
Citation in format AMSBIB
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\paper On an Unsteady Boundary Layer of a Viscous Rheologically Complex Fluid
\inbook Selected issues of mathematics and mechanics
\bookinfo Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov
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\pages 40--77
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    • This publication is cited in the following 2 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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