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Dal'nevostochnyi Matematicheskii Zhurnal, 2015, Volume 15, Number 1, Pages 41–52 (Mi dvmg297)  
This article is cited in 1 scientific paper (total in 1 paper)

On covariant form of the momentum balance equation for perfect fluid

A. I. Gudimenkoab, M. A. Guzevba

a Far Eastern Federal University, Vladivostok
b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
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Abstract: The apparatus of differential geometry is used to represent the momentum balance equation for perfect fluid in а form that is invariant under the time-dependent coordinate transformations. This representation is obtained when The motion of fluid is described in the framework of four-dimensional formalism when the space-time is represented as a bundle over the time axis $\mathbb R$. Applications of the obtained formulation are discussed.
Key words: continuum mechanics, momentum conservation law, fiber bundles, covariant formulation.
Received: 15.04.2015
Bibliographic databases:
Document Type: Article
UDC: 539.3 514
MSC: Primary 74A05; Secondary 53B50
Language: Russian
Citation: A. I. Gudimenko, M. A. Guzev, “On covariant form of the momentum balance equation for perfect fluid”, Dal'nevost. Mat. Zh., 15:1 (2015), 41–52
Citation in format AMSBIB
\Bibitem{GudGuz15}
\by A.~I.~Gudimenko, M.~A.~Guzev
\paper On covariant form of the momentum balance equation for perfect fluid
\jour Dal'nevost. Mat. Zh.
\yr 2015
\vol 15
\issue 1
\pages 41--52
\mathnet{http://mi.mathnet.ru/dvmg297}
\elib{https://elibrary.ru/item.asp?id=23527889}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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