Description of a potential vector field without sources near null points of higher orders in 3D space

The paper presents the methods describing the behavior of lines of a three-dimensional vector field near null points of order greater than one assuming that the potential of that field satisfies the Laplace equation. Some general analytic solutions are presented for the second order case.

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Bibliographic Details
Published inMoscow University mathematics bulletin Vol. 71; no. 4; pp. 146 - 150
Main Author Lukashenko, A. T.
Format Journal Article
LanguageEnglish
Published New York Allerton Press 01.07.2016
Springer Nature B.V
Subjects
Analysis
Laplace equation
Mathematics
Mathematics and Statistics
Production planning
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Summary:The paper presents the methods describing the behavior of lines of a three-dimensional vector field near null points of order greater than one assuming that the potential of that field satisfies the Laplace equation. Some general analytic solutions are presented for the second order case.
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132216040033