Abstract:
In the paper, we construct unit vector fields belonging to the class of smooth axially symmetric fields that are longitudinal-vortex in the whole space R3.
Citation:
V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “Longitudinal-vortex unit vector fields from the class of axially symmetric fields”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 3, 2008, 92–98; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S126–S132
\Bibitem{VerSubChe08}
\by V.~P.~Vereshchagin, Yu.~N.~Subbotin, N.~I.~Chernykh
\paper Longitudinal-vortex unit vector fields from the class of axially symmetric fields
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2008
\vol 14
\issue 3
\pages 92--98
\mathnet{http://mi.mathnet.ru/timm43}
\elib{https://elibrary.ru/item.asp?id=11929748}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 264
\issue , suppl. 1
\pages S126--S132
\crossref{https://doi.org/10.1134/S0081543809050101}
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Linking options:
https://www.mathnet.ru/eng/timm43
https://www.mathnet.ru/eng/timm/v14/i3/p92
This publication is cited in the following 5 articles:
“Sovmestnaya nauchnaya deyatelnost Yu. N. Subbotina i N. I. Chernykh”, Tr. IMM UrO RAN, 17, no. 3, 2011, 4–7
“Yu. N. Subbotin and N. I. Chernykh's joint research activities”, Proc. Steklov Inst. Math. (Suppl.), 277:S1 (2012), –
V. P. Vereschagin, Yu. N. Subbotin, N. I. Chernykh, “K postroeniyu potentsialnykh i poperechno vikhrevykh vektornykh polei s liniyami nulevoi krivizny”, Tr. IMM UrO RAN, 16, no. 4, 2010, 117–127
V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “Transformation that changes the geometric structure of a vector field”, Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S118–S128
V. P. Vereschagin, Yu. N. Subbotin, N. I. Chernykh, “Klass vsekh gladkikh edinichnykh aksialno simmetrichnykh vektornykh polei, prodolno vikhrevykh v R3”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 9:4(1) (2009), 11–23