Please use this identifier to cite or link to this item:
https://elar.rsvpu.ru/handle/123456789/42415
Title: | Transformation that changes the geometric structure of a vector field |
Authors: | Chernykh, N. I. Subbotin, Y. N. Vereshchagin, V. P. |
Issue Date: | 2009 |
Publisher: | Maik Nauka/Interperiodica/Springer |
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. |
Keywords: | VECTOR FIELDS MUTUAL ORIENTATION OF A FIELD AND THE FIELD OF ITS CURL MAPPING OF VECTOR FIELDS |
ISSN: | 0081-5438 1531-8605 |
DOI: | 10.1134/S0081543809060091 |
WoS: | 000268192700009 |
metadata.dc.description.sponsorship: | 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. |
Appears in Collections: | Научные публикации, проиндексированные в SCOPUS и WoS |
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