A. I. Gudimenko, M. A. Guzev, “Geometrical aspects of the mass conservation law”, Dal'nevost. Mat. Zh., 2014, Volume 14, Number 2,Pages <nobr>173

This article is cited in 2 papers

Geometrical aspects 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

Abstract: The theory of fiber bundles is used for representation of the mass conservation law in a coordinate-free form. А generalized formulation of the law is proposed and its physical interpretations are discussed.

Key words: conservation laws, Lie derivative, bundles, covariant derivative.

UDC: 539.3 514

MSC: Primary 74A05; Secondary 53B50

Received: 16.10.2014