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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 102–108 (Mi timm1233)  
This article is cited in 1 scientific paper (total in 1 paper)

A solution class of the Euler equation in a torus with solenoidal velocity field. II

V. P. Vereshchagin, Yu. N. Subbotina, N. I. Chernykha

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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Abstract: We study a problem on solutions $(\mathbf{V},p)$ of the Euler equation with solenoidal velocity field $\mathbf{V}$ in a torus $D$, which is similar to the problem considered in the authors' previous paper 2014. Now, the problem is considered in the class of vector fields $\mathbf{V}$ whose lines coincide with lines of latitude of tori embedded in $D$ with the same circular axis. Conditions are found under which this problem is solvable, and solutions are found too.
Keywords: scalar and vector fields, Euler equation, divergence, curl.
Received: 05.12.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 296, Issue 1, Pages 236–242
DOI: https://doi.org/10.1134/S0081543817020225
Bibliographic databases:
Document Type: Article
UDC: 514.17; 532.5
Language: Russian
Citation: V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “A solution class of the Euler equation in a torus with solenoidal velocity field. II”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 102–108; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 236–242
Citation in format AMSBIB
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\paper A solution class of the Euler equation in a torus with solenoidal velocity field. II
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 102--108
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468434}
\elib{https://elibrary.ru/item.asp?id=25300989}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 296
\issue , suppl. 1
\pages 236--242
\crossref{https://doi.org/10.1134/S0081543817020225}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403678000022}
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