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Title:		Representation of a three-dimensional vector field by scalar potentials
Authors:		ZELDOVICH, IA. B.; RUZMAIKIN, A. A.; SOKOLOV, D. D.
Affiliation:		AA(AN SSSR, Institut Fizicheskikh Problem, Moscow, USSR) AB(AN SSSR, Institut Prikladnoi Matematiki, Moscow, USSR) AC(Moskovskii Gosudarstvennyi Universitet, Moscow, USSR)
Journal:		Akademiia Nauk SSSR, Doklady (ISSN 0002-3264), vol. 284, no. 1, 1985, p. 103-106. In Russian.
Publication Date:		00/1985
Category:		Physics (General)
Origin:		STI
NASA/STI Keywords:		CONDUCTING FLUIDS, MAGNETIC FIELD CONFIGURATIONS, POTENTIAL THEORY, SCALARS, THREE DIMENSIONAL FLOW, VECTOR SPACES, ELECTRODYNAMICS, GAUGE THEORY, HYDRODYNAMICS
Bibliographic Code:		1985DoSSR.284..103Z

Abstract

The representation of a three-dimensional vector field by scalar potentials is considered with reference to the solution of three-dimensional problems of hydrodynamics and electrodynamics. Gauge surfaces are considered, and attention is given to the derivation of evolutionary equations for potentials for the example of a magnetic field in a moving conducting fluid. Finally, it is shown that scalar potentials can conveniently describe random vector fields.

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