On the construction of unit longitudinal-vortex vector fields with the use of smooth mappings
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| Заглавие |
On the construction of unit longitudinal-vortex vector fields with the use of smooth mappings
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| Автор |
Chernykh, N. I.
Subbotin, Yu. N. Vereshchagin, V. P. |
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| Тематика |
AND TENSOR FIELDS
CURL SCALAR VECTOR |
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| Описание |
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 3. The result is stated in the theorem that contains the recipe for constructing the required field. © 2009 Pleiades Publishing, Ltd.
Российский Фонд Фундаментальных Исследований (РФФИ): 08-01-00213, 08-01-00320 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). |
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| Дата |
2019-07-17T10:00:05Z
2019-07-17T10:00:05Z 2009 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
0081-5438
1531-8605 https://www.scopus.com/record/display.uri?origin=resultslist&eid=2-s2.0-65349194034 https://elar.rsvpu.ru/handle/123456789/28026 10.1134/S0081543809050095 65349194034 2-s2.0-65349194034 Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg 620219, Russian Federation Russian State Professional-Pedagogical University, ul. Mashinostroitelei 11, Yekaterinburg 620012, Russian Federation Scopus Chernykh, N.I., Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg 620219, Russian Federation Subbotin, Yu.N., Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg 620219, Russian Federation Vereshchagin, V.P., Russian State Professional-Pedagogical University, ul. Mashinostroitelei 11, Yekaterinburg 620012, Russian Federation WOS:000265511100009 000265511100009 |
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| Язык |
en
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| Права |
Restricted accedd (info:eu-repo/semantics/restrictedAccess)
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| Формат |
text/html
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| Охват |
RSVPU
SCOPUS |
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| Издатель |
Pleiades Publishing Ltd
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| Источник |
Proceedings of the Steklov Institute of Mathematics
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