Some Solutions of Continuum Equations for an Incompressible Viscous Medium / Vereshchagin V. P.,Subbotin Yu N.,Chernykh N. I. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2014. - V. 287, l. 1. - P. S208-S223.

ISSN/EISSN:
0081-5438 / 1531-8605
Type:
Article
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.
Author keywords:
scalar fields; vector fields; tensor fields; curl; Navier-Stokes equation; Stokes equation
DOI:
10.1134/S008154381409020X
Web of Science ID:
ISI:000345589100020
Соавторы в МНС:
Другие поля
Поле Значение
Month DEC
Publisher MAIK NAUKA/INTERPERIODICA/SPRINGER
Address 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language English
EISSN 1531-8605
Research-Areas Mathematics
Web-of-Science-Categories Mathematics, Applied; Mathematics
Author-Email yunsub@imm.uran.ru Nikolai.Chernykh@imm.uran.ru
ResearcherID-Numbers Subbotin, Yurii Nikolaevich/C-4273-2017
Funding-Acknowledgement Russian Foundation for Basic Research {[}11-01-00462, 12-01-00004, 11-01-00347]; Ministry of Education and Science of the Russian Federation {[}1.1544.2011]; Program for State Support of Leading Universities of the Russian Federation {[}02.A03.21.0006]
Funding-Text 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).
Number-of-Cited-References 5
Usage-Count-Last-180-days 1
Usage-Count-Since-2013 11
Journal-ISO Proc. Steklov Inst. Math.
Doc-Delivery-Number AU4NT