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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 245–256 (Mi timm1277)  
On some properties of the Navier-Stokes equations

L. I. Rubinaa, O. N. Ul'yanovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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Abstract: We discuss the initial and boundary value problems for the system of dimensionless Navier–Stokes equations describing the dynamics of a viscous incompressible fluid using the method of characteristics and the geometric method developed by the authors. Some properties of the formulation of these problems are considered. We study the effect of the Reynolds number on the flow of a viscous fluid near the surface of a body.
Keywords: Navier-Stokes equations, initial value problem, boundary value problem, Reynolds number, turbulence.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.А03.21.0006
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 163–174
DOI: https://doi.org/10.1134/S0081543817050170
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: L. I. Rubina, O. N. Ul'yanov, “On some properties of the Navier-Stokes equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 245–256; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 163–174
Citation in format AMSBIB
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\paper On some properties of the Navier-Stokes equations
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\vol 22
\issue 1
\pages 245--256
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 297
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\pages 163--174
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