Quadratic helicities and the energy of magnetic fields
Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 16-28

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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.
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     author = {P. M. Akhmet'ev},
     title = {Quadratic helicities and the energy of magnetic fields},
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     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a1/}
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P. M. Akhmet'ev. Quadratic helicities and the energy of magnetic fields. Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 16-28. http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a1/