NIFS-507

FULL TEXT (PDF, 861 KB)

Author(s):

R.L. Dewar

Title:

Reduced form of MHD Lagrangian for Ballooning Modes

Date of publication:

Sep. 1997

Key words:

Stabi1ity, Ideal Magnetohydrodynamics, Energy Principle, Three-dimensional Toroidal Confinement

Abstract:

This mini-review sets out the derivation of the short-perpendicular-scale-length approximate reduction of the ideal magnetohydrodynamic Lagrangian to a scalar form in the case of incompressible MHD, or to a two-field form in the compressible case. No eikonal approximation is made. The nature of the field-line bending and field-line compression terms in the energy principle is clarified. Self adjointness and the role of the "kink term" in the energy principle are also discussed.

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