DYNAMICS OF IONIZING SHOCK WAVES. I. TRANSVERSE SHOCKS.
Report no. 7
COLUMBIA UNIV NEW YORK PLASMA LAB
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A simplified mathematical model of ionizing shock waves in a magnetic field is considered. Roughly speaking, these shocks are an intermediate species between gas shocks and hydromagnetic shocks. The gas ahead of the shock will be assumed to be a perfect non-conductor, and that behind to be a perfect conductor. It is stipulated that the conditions be such that there is no precursor ionization. For simplicity, the energy required in the ionization process is ignored. Also, in this paper are treated transverse shocks, in which the magnetic field is tangential to the shock front and thus transverse to its direction of propagation in hydromagnetic usage, such shocks are sometimes called perpendicular shocks they should not be confused with Alfven discontinuities, which are also sometimes called transverse shocks. The solution of the algebraic jump conditions is also studied. Author