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Existence of gasdynamic subshocks in Hall magnetohydrodynamics
Author(s) -
Lee L. C.,
Wu B. H.
Publication year - 2001
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2000gl012151
Subject(s) - magnetohydrodynamics , classification of discontinuities , magnetic field , physics , jump , rotation (mathematics) , hall effect , mechanics , classical mechanics , geometry , mathematics , quantum mechanics , mathematical analysis
We report the existence of oblique gasdynamic subshocks in Hall‐MHD. These gasdynamic subshocks propagate at a finite angle θ with respect to the local magnetic field and are embedded in a rotating magnetic field. Across these subshocks, the plasma density, velocity and pressure satisfy the Rankine‐Hugoniet (R‐H) jump conditions in ordinary gasdynamics. In addition, there is no jump in magnetic field across the subshocks. The existence of these gasdynamic subshocks require a finite viscosity, the rotation of magnetic field, and the presence of Hall term in the generalized Ohm's law. These gasdynamic subshocks can be formed in the transition regions of rotational discontinuities (RDs) and intermediate shocks.