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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 1, Pages 111–121 (Mi timm208)  
This article is cited in 6 scientific papers (total in 7 papers)

Transformation that changes the geometric structure of a vector field

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 (171 kB) Citations (7)
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Abstract: A method is proposed of constructing vector fields with certain vortex properties by means of transformations changing the value of the field vector at every point, the form of field lines, and their mutual position. We discuss and give concrete examples of the prospects of using the method in applications involving solution of partial differential equations, including nonlinear ones.
Keywords: vector fields, mutual orientation of a field and the field of its curl, mapping of vector fields.
Received: 28.11.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 265, Issue 1, Pages S118–S128
DOI: https://doi.org/10.1134/S0081543809060091
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “Transformation that changes the geometric structure of a vector field”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 1, 2009, 111–121; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S118–S128
Citation in format AMSBIB
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\by V.~P.~Vereshchagin, Yu.~N.~Subbotin, N.~I.~Chernykh
\paper Transformation that changes the geometric structure of a~vector field
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 1
\pages 111--121
\mathnet{http://mi.mathnet.ru/timm208}
\elib{https://elibrary.ru/item.asp?id=11929781}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 265
\issue , suppl. 1
\pages S118--S128
\crossref{https://doi.org/10.1134/S0081543809060091}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000268192700009}
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  • https://www.mathnet.ru/eng/timm/v15/i1/p111
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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