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Adiabatic separation of motions and reduced MHD equations

  • Magnetic Hydrodynamics
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Abstract

A variational method for separating fast and slow motions in quasi-Lagrangian continuous media is proposed, which makes it possible to discard fast stable collective degrees of freedom and to derive simpler (reduced) nonlinear equations describing the adiabatic dynamics of quasi-Lagrangian systems. The method is applied to derive an improved version of the reduced Kadomtsev-Pogutse-Strauss MHD equations that describe the dynamics of a tokamak plasma with steady-state sheared flows, as well as adiabatic equations for two-dimensional modeling of MHD plasma convection near the threshold for flute instability in systems like compact tori.

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Authors and Affiliations

  1. Russian Research Centre Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182, Russia

    V. P. Pastukhov

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  1. V. P. Pastukhov
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__________

Translated from Fizika Plazmy, Vol. 26, No. 6, 2000, pp. 566–576.

Original Russian Text Copyright ¢ 2000 by Pastukhov.

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Pastukhov, V.P. Adiabatic separation of motions and reduced MHD equations. Plasma Phys. Rep. 26, 529–538 (2000). https://doi.org/10.1134/1.952888

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  • DOI: https://doi.org/10.1134/1.952888

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