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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 16–28
(Mi tm3419)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/tm3419 https://www.mathnet.ru/eng/tm/v278/p16
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Abstract page: | 307 | Full-text PDF : | 76 | References: | 65 |
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