Dispersion of the Arnold's asymptotic ergodic Hopf invariant and a formula for its calculation

DOI10.1007/s40598-020-00144-wzbMath1456.76141arXiv1906.12131OpenAlexW3035964078WikidataQ114219058 ScholiaQ114219058MaRDI QIDQ2209755

Peter M. Akhmetiev, I. V. V'yugin

Publication date: 4 November 2020

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.12131

zbMATH Keywords

magnetic helicityconductive mediumrandom Fourier spectrum

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (4)

Magnetic helicity flux for mean magnetic field equations ⋮ Invariants of magnetic lines for Yang-Mills solutions ⋮ On a higher integral invariant for closed magnetic lines, revisited ⋮ Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence

Cites Work

• Quadratic helicities and the energy of magnetic fields
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