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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 16–28 (Mi tm3419)  
This article is cited in 13 scientific papers (total in 13 papers)

Quadratic helicities and the energy of magnetic fields

P. M. Akhmet'ev

Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation (IZMIRAN), Russian Academy of Sciences, Troitsk, Moscow oblast', Russia
Full-text PDF (200 kB) Citations (13)
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Abstract: Two new nonlocal asymptotic invariants of magnetic fields frozen into a finite domain filled with an ideal liquid conducting medium are introduced. The velocity of variation of the invariants in a nonideal medium is estimated for magnetic fields described by the induction equation. The invariants are used to study the spectral characteristics of magnetic fields.
Received in July 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 278, Pages 10–21
DOI: https://doi.org/10.1134/S0081543812060028
Bibliographic databases:
Document Type: Article
UDC: 515.168.3
Language: Russian
Citation: P. M. Akhmet'ev, “Quadratic helicities and the energy of magnetic fields”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 278, MAIK Nauka/Interperiodica, Moscow, 2012, 16–28; Proc. Steklov Inst. Math., 278 (2012), 10–21
Citation in format AMSBIB
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\paper Quadratic helicities and the energy of magnetic fields
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
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\vol 278
\pages 16--28
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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