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Meždunar. nauč.-issled. žurn., 2016, Issue 7-4(49), Pages 86–89 (Mi irj135)  

PHYSICS AND MATHEMATICS

The Navier–Stokes equations. From theory forward to solution of practical problems

A. V. Koptev

Admiral Makarov State University of Maritime and Inland Shipping, St. Petersburg

Abstract: On the paper under consideration we propose an approach to the solution of practical problems of fluid mechanics based on the Navier–Stokes equations for viscous incompressible fluid flow. As a result, the solution of the governing equations is reduced to the solution of five simple tasks. Each of these separate tasks is considered using known methods of mathematical physics and differential equations. As a result, the application of the proposed method provides the ability for analytical and approximate analytical solutions 2D and 3D Navier–Stokes equations and constructing solutions for specific practical problems.

Keywords: motion, viscous incompressible fluid, partial differential equation, integral.

DOI: https://doi.org/10.18454/IRJ.2016.49.141

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Citation: A. V. Koptev, “The Navier–Stokes equations. From theory forward to solution of practical problems”, Meždunar. nauč.-issled. žurn., 2016, no. 7-4(49), 86–89

Citation in format AMSBIB
\Bibitem{Kop16}
\by A.~V.~Koptev
\paper The Navier--Stokes equations. From theory forward to solution of practical problems
\jour Me{\v z}dunar. nau{\v{c}}.-issled. {\v z}urn.
\yr 2016
\issue 7-4(49)
\pages 86--89
\mathnet{http://mi.mathnet.ru/irj135}
\crossref{https://doi.org/10.18454/IRJ.2016.49.141}


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