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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 4(1), Pages 11–23
DOI: https://doi.org/10.18500/1816-9791-2009-9-4-1-11-23 (Mi isu70) 		 
This article is cited in 2 scientific papers (total in 3 papers)

Mathematics

The full class ofsmooth axially symmetric longitudinal-vortex unit vector fields

V. P. Vereshchagina, Yu. N. Subbotinb, N. I. Chernykhb

a Russian State Professional – Pedagogical University, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of RAS, Ekaterinburg
Full-text PDF (268 kB) Citations (3)
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DOI: https://doi.org/10.18500/1816-9791-2009-9-4-1-11-23
Abstract: In the paper, two vector fields are constructed by means of transformation method. The first describes the axially symmetric unit solutions (ASUS) of the Gromeka problem to find out vector fields which flow lines coincide in $R^3$ with vortex lines. The second describes the smooth ASUS of the extended in this paper Gromeka problem of finding a vector fields with different vortex properties in adjacent parts of $R^3$.
Key words: scalar and vector fields, curl.
Document Type: Article
UDC: 514.7
Language: Russian
Citation: V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “The full class ofsmooth axially symmetric longitudinal-vortex unit vector fields”, Izv. Saratov Univ. Math. Mech. Inform., 9:4(1) (2009), 11–23
Citation in format AMSBIB
\Bibitem{VerSubChe09}
\by V.~P.~Vereshchagin, Yu.~N.~Subbotin, N.~I.~Chernykh
\paper The full class ofsmooth axially symmetric longitudinal-vortex unit vector fields
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 4(1)
\pages 11--23
\mathnet{http://mi.mathnet.ru/isu70}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-4-1-11-23}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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