Quadratic helicities and the energy of magnetic fields

DOI10.1134/S0081543812060028zbMath1304.78003arXiv1110.0997MaRDI QIDQ744271

Peter M. Akhmetiev

Publication date: 7 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0997

zbMATH Keywords

Maxwell's equationsspectral analysisnon-ideal conducting fluids

Mathematics Subject Classification ID

Inference from stochastic processes and spectral analysis (62M15) Magnetohydrodynamics and electrohydrodynamics (76W05) Foundations in optics and electromagnetic theory (78A02) Maxwell equations (35Q61)

Related Items

Magnetic helicity flux for mean magnetic field equations, Helicity is the only integral invariant of volume-preserving transformations, Dispersion of the Arnold's asymptotic ergodic Hopf invariant and a formula for its calculation, On volume-preserving vector fields and finite-type invariants of knots, On Arnold's problem on higher analogs of the asymptotic Hopf invariant, Asymptotic invariants of 3-dimensional vector fields

Cites Work

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• Remark on the dissipation of the magnetic helicity integral
• Topological methods in hydrodynamics
• Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links
• Magnetic helicity and cosmological magnetic field