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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2014 Volume 14, Number 1, Pages 33–40 (Mi dvmg270)

This article is cited 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

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.

UDC: 539.3 514

MSC: Primary 74A05; Secondary 53B50

Received: 25.03.2014



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