Transformation that changes the geometric structure of a vector field / Chernykh N. I.,Subbotin Yu. N.,Vereshchagin V. P. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2009. - V. 266, l. 1. - P. S118-S128.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

We propose a method of constructing vector fields with certain vortex properties by means of transformations that change the value of the field vector at every point, the form of the field lines, and their mutual position. We discuss and give concrete examples of the prospects of using the method in applications involving solution of partial differential equations, including nonlinear ones.

Author keywords:

vector fields; mutual orientation of a field and the field of its curl; mapping of vector fields

DOI:

10.1134/S0081543809060091

Web of Science ID:

ISI:000268192700009

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	SEP
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	Nikolai.Chernykh@imm.uran.ru yunsub@imm.uran.ru
ResearcherID-Numbers	Subbotin, Yurii Nikolaevich/C-4273-2017
Funding-Acknowledgement	Russian Foundation {[}09-01-00014]; Russian Federation {[}NSh-1071.2008.1]; Russian Academy of Sciences
Funding-Text	This work was supported by the Russian Foundation for Basic Research ( project no. 09-01-00014), by the Program for State Support of Leading Scientific Schools of the Russian Federation ( project no. NSh-1071.2008.1), and by the Program of the Presidium of the Russian Academy of Sciences ``Mathematical Theory of Control.{''}
Number-of-Cited-References	7
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	473FY