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Dal'nevostochnyi Matematicheskii Zhurnal, 2014, Volume 14, Number 1, Pages 33–40 (Mi dvmg270)  
This article is cited in 2 scientific papers (total in 2 papers)

On invariant form of the mass conservation law

A. I. Gudimenkoa, M. A. Guzevb

a V. I. Il'ichev Pacific Oceanological Institute, Far Eastern Branch of RAS, Vladivostok
b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
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Abstract: The theory of fiber bundles is used for representation of the mass conservation law in a form that is invariant under general transformations of the four space-time coordinates. А generalized formulation of the law is proposed on the base of transition to covariant differentiation. Some physical interpretations of the generalized formulation are discussed.
Key words: conservation laws, Lie derivative, bundles, covariant derivative.
Received: 25.03.2014
Document Type: Article
UDC: 539.3 514
MSC: Primary 74A05; Secondary 53B50
Language: Russian
Citation: A. I. Gudimenko, M. A. Guzev, “On invariant form of the mass conservation law”, Dal'nevost. Mat. Zh., 14:1 (2014), 33–40
Citation in format AMSBIB
\Bibitem{GudGuz14}
\by A.~I.~Gudimenko, M.~A.~Guzev
\paper On invariant form of the mass conservation law
\jour Dal'nevost. Mat. Zh.
\yr 2014
\vol 14
\issue 1
\pages 33--40
\mathnet{http://mi.mathnet.ru/dvmg270}
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    • This publication is cited in the following 2 articles:
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