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math-ph2011
Quadratic helicities and the energy of magnetic fields
Petr M. Akhmet'ev
Two non-local asymptotic invariants of magnetic fields for the ideal magnetohydrodynamics are introduced. The velocity of variation of the invariants for a non-ideal magnetohydrody…
math.GT2011★ 4 cited
On asymptotic higher analogs of the magnetic helicity invariant in MHD
Petr M. Akhmet'ev
A solution of a problem by V.I.Arnol'd about higher analog of the asymptotic Hopf invariant of divergence-free vector fields is presented. A higher invariant of magnetic fields, wh…