Quadratic helicities and the energy of magnetic fields
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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.
@article{TM_2012_278_a1,
author = {P. M. Akhmet'ev},
title = {Quadratic helicities and the energy of magnetic fields},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {16--28},
publisher = {mathdoc},
volume = {278},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2012_278_a1/}
}
P. M. Akhmet'ev. Quadratic helicities and the energy of magnetic fields. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 278 (2012), pp. 16-28. http://geodesic.mathdoc.fr/item/TM_2012_278_a1/