A Solution Class of the Euler Equation in a Torus with Solenoidal Velocity Field. II / Vereshchagin V. P.,Subbotin Yu. N.,Chernykh N. I. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2017. - V. 296, l. 1, 1. - P. S236-S242.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

We study a problem on solutions (V, p) of the Euler equation with solenoidal velocity field V in a torus D, which is similar to the problem considered in the authors' previous paper in 2014. Now, the problem is considered in the class of vector fields V whose lines coincide with lines of latitude of tori embedded in D with the same circular axis. Conditions are obtained under which this problem is solvable, and solutions are found.

Author keywords:

scalar and vector fields; Euler equation; divergence; curl

DOI:

10.1134/S0081543817020225

Web of Science ID:

ISI:000403678000022

Соавторы в МНС:

Другие поля

Поле	Значение
Month	APR
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
Funding-Acknowledgement	Russian Science Foundation {[}14-11-00702]
Funding-Text	This work was supported by the Russian Science Foundation (project no. 14-11-00702).
Number-of-Cited-References	5
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	1
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	EY0VS