Some solutions of continuum equations for an incompressible viscous medium(Article)
- aRussian State Professional-Pedagogical University, ul. Mashinostroitelei 11, Yekaterinburg, 620012, Russian Federation
- bInstitute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russian Federation
- cInstitute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, Yekaterinburg, 620000, Russian Federation
Abstract
We consider the Navier-Stokes equations for an incompressible medium that fills at any time t ≥ 0 an open axially symmetric cylindric layer D. We find solutions of these equations in the class of motions described by velocity fields whose lines for t ≥ 0 coincide with their vortex lines and lie on axially symmetric cylindrical surfaces in D. © 2014, Pleiades Publishing, Ltd.
Funding details
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| Russian Foundation for Basic Research | 11-01-00347,11-01-00462,12-01-00004 | РФФИ |
| Ministry of Education and Science of the Russian Federation | 1.1544.2011 | Minobrnauka |
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1
This work was supported by the Russian Foundation for Basic Research (project nos. 11-01-00462, 12-01-00004, and 11-01-00347), by the Ministry of Education and Science of the Russian Federation (project no. 1.1544.2011), and by the Program for State Support of Leading Universities of the Russian Federation (agreement no. 02.A03.21.0006 of August 27, 2013).
- ISSN: 00815438
- Source Type: Journal
- Original language: English
- DOI: 10.1134/S008154381409020X
- Document Type: Article
- Publisher: Izdatel'stvo Nauka
Vereshchagin, V.P.; Russian State Professional-Pedagogical University, ul. Mashinostroitelei 11, Yekaterinburg, Russian Federation
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