Abstract
The linearized analysis used to determine the perturbation produced when an initially uniform magnetohydrodynamic shock wave of arbitrary strength encounters a section of non-uniform cross-sectional area is singular when the flow behind the incident shock is initially close to the true sonic speed. A modified perturbation theory, based on small area variations and valid for all flow speeds, is derived, and it is seen that the mentioned singularity masks the formation of secondary shocks. The present theory includes results on the propagation of non-uniform gas dynamic shocks as a special case.
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