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The equations for nonplanar relativistic flow are solved by similarity analysis for a restricted set of problems. The relativistic equation of state p = 13 E is used. The solutions obtained are for flow resulting from a point source of energy at the origin, having a power law time dependence. The results are applied to the problem of spherical shock propagation into a medium and to the problem of cosmic ray generation from supernovae. It is found that the predicted spectrum of cosmic rays is somewhat steeper than is actually observed.
Peter G. Eltgroth (1972) studied this question.