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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 3, Pages 370–382
DOI: https://doi.org/10.17516/1997-1397-2018-11-3-370-382 (Mi jsfu672) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Systematization and analysis of integrals of motion for an incompressible fluid flow

Alexander V. Koptev

Admiral Makarov State University of Maritime and Inland Shipping, Dvinskaya, 5/7, Saint-Petersburg, 198035, Russia
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DOI: https://doi.org/10.17516/1997-1397-2018-11-3-370-382
Abstract: An analysis of integrals of motion of an incompressible fluid flow both known and new obtained by author are presented in the paper. It was found that the known integrals of Lagrange–Cauchy, Bernoulli and Euler–Bernoulli are special cases of a new more general integral. It was shown that the set of all integrals of motion of an incompressible fluid form a logical chain which can be represented as a tree.
Keywords: incompressible fluid, motion, Navier–Stokes equations, Euler equations, partial derivative, root integral, stream pseudo-function, potential, tree.
Received: 07.05.2017
Received in revised form: 30.09.2017
Accepted: 20.02.2018
Bibliographic databases:
Document Type: Article
UDC: 517.958:532.516
Language: English
Citation: Alexander V. Koptev, “Systematization and analysis of integrals of motion for an incompressible fluid flow”, J. Sib. Fed. Univ. Math. Phys., 11:3 (2018), 370–382
Citation in format AMSBIB
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\by Alexander~V.~Koptev
\paper Systematization and analysis of integrals of motion for an incompressible fluid flow
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 3
\pages 370--382
\mathnet{http://mi.mathnet.ru/jsfu672}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-3-370-382}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000442257300007}
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    • This publication is cited in the following 1 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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