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MHD-Drift Equations: from Langmuir circulations to MHD-dynamo?

Fluid Dynamics 2011-09-16 v1 Earth and Planetary Astrophysics Mathematical Physics math.MP Pattern Formation and Solitons

Abstract

We have derived the closed system of averaged MHD-equations for general oscillating flows, which are purely oscillating in the main approximation. We have used the mathematical approach which combines the two-timing method and the notion of the distinguished limit. Properties of the commutators are used to simplify calculations. The direct connection with a vortex dynamo (or the Langmuir circulations) has been demonstrated and a conjecture on the MHD-dynamo has been formulated.

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Cite

@article{arxiv.1109.3427,
  title  = {MHD-Drift Equations: from Langmuir circulations to MHD-dynamo?},
  author = {Vladimir A. Vladimirov},
  journal= {arXiv preprint arXiv:1109.3427},
  year   = {2011}
}

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9 pages