Impulse formulations of Hall magnetohydrodynamic equations |
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Authors: | Bhimsen K. Shivamoggi |
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Affiliation: | J.M. Burgers Centre and Fluid Dynamics Laboratory, Department of Physics, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands |
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Abstract: | 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 and a generalized ion magnetic potential helicity Lagrange invariant is established. The physical implications of the generalized ion magnetic potential helicity Lagrange invariant are shown to be the same, as to be expected, as those of the generalized ion magnetic helicity Lagrange invariant. |
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