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Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 3, Pages 306–313
DOI: https://doi.org/10.17516/1997-1397-2020-13-3-306-313 (Mi jsfu840) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Exact solution of 3D Navier–Stokes equations

Alexander V. Koptev

Admiral Makarov State University of Maritime and Inland Shipping, Saint-Petersburg, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2020-13-3-306-313
Abstract: Procedure for constructing exact solutions of 3D Navier–Stokes equations for an incompressible fluid flow is proposed. It is based on the relations representing the previously obtained first integral of the Navier–Stokes equations. A primary generator of particular solutions is proposed. It is used to obtain new classes of exact solutions.
Keywords: incompressible fluid, motion, equation, integral, primary generator of solutions, exact solution.
Received: 20.12.2019
Received in revised form: 13.01.2020
Accepted: 26.02.2020
Bibliographic databases:
Document Type: Article
UDC: 517.958:532.516
Language: English
Citation: Alexander V. Koptev, “Exact solution of 3D Navier–Stokes equations”, J. Sib. Fed. Univ. Math. Phys., 13:3 (2020), 306–313
Citation in format AMSBIB
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\by Alexander~V.~Koptev
\paper Exact solution of 3D Navier--Stokes equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 3
\pages 306--313
\mathnet{http://mi.mathnet.ru/jsfu840}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-3-306-313}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000540327900005}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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