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

2011/09/15 by V. A. Vladimirov, Vladimirov, Vladimir A. · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · #76B47 #76W05 #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Fluid dynamics and aerodynamics studies #Geomagnetism and Paleomagnetism Studies #Mathematical Physics (math-ph) #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.1109.3427

openalex publication_date 2011/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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