On the construction of unit longitudinal-vortex vector fields with the use of smooth mappings / Chernykh N. I.,Subbotin Yu. N.,Vereshchagin V. P. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2009. - V. 264, l. . - P. 116-125.

ISSN/EISSN:

0081-5438 / нет данных

Type:

Article

Abstract:

A solution is given for the problem of constructing a unit vector field collinear to the field of its curl. The solution is based on the use of a suitably parametrized orthogonal transformation of a unit vector field that is potential in R(3). The result is stated in the theorem that contains the recipe for constructing the required field.

Author keywords:

scalar; vector; and tensor fields; curl

DOI:

10.1134/S0081543809050095

Web of Science ID:

ISI:000265511100009

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUL
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	Nikolai.Chernykh@imm.uran.ru yusub@imm.uran.ru
ResearcherID-Numbers	Subbotin, Yurii Nikolaevich/C-4273-2017
Funding-Acknowledgement	Russian Foundation for Basic Research {[}08-01-00213, 08-01-00320]; Russian Federation {[}NSh-1071.2008.1]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project nos. 08-01-00213 and 08-01-00320) and by the Program for State Support of Leading Scientific Schools of the Russian Federation (project no. NSh-1071.2008.1).
Number-of-Cited-References	3
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	437TZ