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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Volume 14, Number 3, Pages 82–91 (Mi timm42)  
This article is cited in 5 scientific papers (total in 6 papers)

On the construction of unit longitudinal-vortex vector fields with the use of smooth mappings

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

a Russian State Professional Pedagogical University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (263 kB) Citations (6)
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Abstract: A solution is given for the problem of constructing a unit vector field collinear to the field of its curl. The solution is based on the use of a suitably parametrized orthogonal transformation of a unit vector field that is potential in $\mathbb R^3$. The result is stated in the theorem that contains the recipe for constructing the required field.
Received: 20.03.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 264, Issue 1, Pages S116–S125
DOI: https://doi.org/10.1134/S0081543809050095
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “On the construction of unit longitudinal-vortex vector fields with the use of smooth mappings”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 3, 2008, 82–91; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S116–S125
Citation in format AMSBIB
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\paper On the construction of unit longitudinal-vortex vector fields with the use of smooth mappings
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\vol 14
\issue 3
\pages 82--91
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
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\issue , suppl. 1
\pages S116--S125
\crossref{https://doi.org/10.1134/S0081543809050095}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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