A. I. Gudimenko, M. A. Guzev, “On invariant form of the mass conservation law”, Dal'nevost. Mat. Zh., 14:1 (2014), 33

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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. Gudimenko^a, M. A. Guzev^b

^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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https://www.mathnet.ru/eng/dvmg/v14/i1/p33

This publication is cited in the following 2 articles:

Citing articles in Google Scholar: Russian citations, English citations
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References:	73

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