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dc.contributor.authorVereshchagin, V. P.en
dc.contributor.authorSubbotin, Y. N.en
dc.contributor.authorChernykh, N. I.en
dc.coverage.spatialRSVPUen
dc.coverage.spatialSCOPUSen
dc.date.accessioned2019-07-17T10:00:05Z-
dc.date.available2019-07-17T10:00:05Z-
dc.date.issued2014-
dc.identifier.issn0081-5438-
dc.identifier.issn1531-8605-
dc.identifier.otherhttps://www.scopus.com/record/display.uri?origin=resultslist&eid=2-s2.0-84898765608scopus_url
dc.identifier.urihttps://elar.rsvpu.ru/handle/123456789/28029-
dc.description.abstractWe 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.en
dc.description.sponsorshipРоссийский Фонд Фундаментальных Исследований (РФФИ): 12-01-0004, 11-01-00347, 11-01-00462-
dc.description.sponsorshipMinistry of Education and Science of the Russian Federation: 1.5444.2011-
dc.description.sponsorshipThis 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).-
dc.format.mimetypetext/htmlen
dc.language.isoenen
dc.publisherPleiades Publishing Ltden
dc.rightsinfo:eu-repo/semantics/restrictedAccessen
dc.sourceProceedings of the Steklov Institute of Mathematicsen
dc.subjectCURLen
dc.subjectEULER EQUATIONen
dc.subjectGROMEKA'S PROBLEMen
dc.subjectSCALAR FIELDSen
dc.subjectTENSOR FIELDSen
dc.subjectVECTOR FIELDSen
dc.titleOn the mechanics of helical flows in an ideal incompressible nonviscous continuous mediumen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dcterms.audienceOtheren
dcterms.audienceParents and Familiesen
dcterms.audienceResearchersen
dcterms.audienceSchool Support Staffen
dcterms.audienceStudentsen
dcterms.audienceTeachersen
local.description.firstpage159-
local.description.lastpage174-
local.issueSUPPL.1-
local.volume284-
local.identifier.doi10.1134/S008154381402014X-
local.identifier.scopus84898765608-
local.identifier.eid2-s2.0-84898765608-
local.identifier.affiliationRussian State Professional-Pedagogical University, ul. Mashinostroitelei 11, Yekaterinburg, 620012, Russian Federationen
local.identifier.affiliationInstitute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russian Federationen
local.identifier.affiliationInstitute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, Yekaterinburg, 620000, Russian Federationen
local.identifier.sourceScopusen
local.identifier.otherVereshchagin, V.P., Russian State Professional-Pedagogical University, ul. Mashinostroitelei 11, Yekaterinburg, 620012, Russian Federationen
local.identifier.otherSubbotin, 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 Federationen
local.identifier.otherChernykh, 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 Federationen
local.identifier.otherWOS:000334277400014-
local.identifier.wos000334277400014-
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