Impulse Formulations of Hall Magnetohydrodynamic Equations

Details Impulse Formulations of Hall Magnetohydrodynamic Equations Impulse Formulations of Hall Magnetohydrodynamic Equations

2008-06-27

arxiv.org/abs/0806.4609v3

Physics

Plasma Physics

Scientific paper

10.1016/j.physleta.2008.12.030

Impulse formulations of Hall magnetohydrodynamic (MHD) equations are developed. The Lagrange invariance of a generalized ion magnetic helicity is established for Hall MHD. The physical implications of this Lagrange invariant are discussed. The discussion is then extended to compressible Hall MHD. Compressibility effects are shown not to affect, as to be expected, the physical implications of the generalized ion magnetic helicity Lagrange invariant.

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