On the mechanics of helical flows in an ideal incompressible nonviscous continuous medium
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| Заглавие |
On the mechanics of helical flows in an ideal incompressible nonviscous continuous medium
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| Автор |
Vereshchagin, V. P.
Subbotin, Y. N. Chernykh, N. I. |
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| Тематика |
CURL
EULER EQUATION GROMEKA'S PROBLEM SCALAR FIELDS TENSOR FIELDS VECTOR FIELDS |
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| Описание |
We find a general solution to the problem on the motion in an incompressible continuous medium occupying at any time a whole domain D ⊂ R 3 under the conditions that D is an axially symmetric cylinder and the motion is described by the Euler equation together with the continuity equation for an incompressible medium and belongs to the class of helical flows (according to I.S. Gromeka's terminology), in which sreamlines coincide with vortex lines. This class is constructed by the method of transformation of the geometric structure of a vector field. The solution is characterized in Theorem 2 in the end of the paper. © 2014 Pleiades Publishing, Ltd.
Российский Фонд Фундаментальных Исследований (РФФИ): 12-01-0004, 11-01-00347, 11-01-00462 Ministry of Education and Science of the Russian Federation: 1.5444.2011 This work was supported by the Russian Foundation for Basic Research (project nos. 11-01-00462, 12-01-0004, and 11-01-00347) and by the Program for State Support of Leading Universities of the Russian Federation (agreement no. 02.A03.21.0006 of August 27, 2013). The research of the third author was also supported by the Ministry of Education and Science of the Russian Federation according to the state assignment to higher education institutions for carrying out fundamental and applied research (project no. 1.5444.2011). |
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| Дата |
2019-07-17T10:00:05Z
2019-07-17T10:00:05Z 2014 |
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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-s2.0-84898765608 https://elar.rsvpu.ru/handle/123456789/28029 10.1134/S008154381402014X 84898765608 2-s2.0-84898765608 Russian State Professional-Pedagogical University, ul. Mashinostroitelei 11, Yekaterinburg, 620012, Russian Federation Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russian Federation Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, Yekaterinburg, 620000, Russian Federation Scopus Vereshchagin, V.P., Russian State Professional-Pedagogical University, ul. Mashinostroitelei 11, Yekaterinburg, 620012, Russian Federation Subbotin, Y.N., Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russian Federation, Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, Yekaterinburg, 620000, Russian Federation Chernykh, N.I., Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russian Federation, Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, Yekaterinburg, 620000, Russian Federation WOS:000334277400014 000334277400014 |
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| Язык |
en
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| Права |
Restricted accedd (info:eu-repo/semantics/restrictedAccess)
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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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