Most models of radiative jets have been computed for the special case
of a top hat initial cross section. This paper discusses the dynamics
of both leading and internal working surfaces in jets with more genera
l initial cross sections, based on both an analytic, ''thin shell'' mo
del, and on a full numerical simulation. We find that a non-top hat cr
oss section for the jet ram pressure first leads to a strong curvature
of the working surface shocks, and at longer timescales to the format
ion of a warm, dense ''nose cone''. These results have interesting imp
lications for comparisons between radiative jet models and observation
s of Herbig-Haro objects.