Oct 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jgr....9311363k&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 93, Oct. 1, 1988, p. 11363-11373.
Physics
14
Magnetohydrodynamic Waves, Plane Waves, Shock Wave Propagation, Amplitudes, Differential Equations, Mach Number, Nonlinear Systems, Rankine-Hugoniot Relation, Wave Equations
Scientific paper
It is argued that parallel propagating Alfven waves steepen to second order in the wave amplitude, rather than first order, as is the case for oblique MHD waves. An analytical solution for the structure of weak switch-on shocks is derived. The Rankine-Hugoniot relations for finite amplitude switch-on shocks are obtained in a compact form. The differential equation for resistive switch-on shocks is solved, and the resistive critical Mach number is obtained. The differential equation for resistive switch-on shocks with finite ion inertia is identical to the one obtained in the pure resistive case. It is argued that efficient electron heat conduction can significantly extend the range of upstream parameters for which switch-on shocks are expected.
Edmiston J. P.
Kennel Charles F.
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