The analysis of the stability properties of astrophysical jets against Kelv
in-Helmholtz (or shear-layer) instabilities plays a basic role in the under
standing of the origin and physical characteristics of these objects. Numer
ical simulations by Bodo et al. (1998) have shown that the three-dimensiona
l non-linear evolution of KH instabilities in supersonic jets is substantia
lly faster than in the two-dimensional case, leading to a cascade of modes
towards smaller scales and a very effective mixing and momentum transfer to
the ambient medium. On the other hand, Rossi et al. (1997) and Micono et a
l. (1998) found, in two dimensions, that radiative losses tend to reduce an
d delay mixing effects and momentum transfer to the ambient medium. In this
paper, as a logical next step, we investigate the effects of radiative los
ses on the stability of 3D supersonic jets, assuming that the internal jet
density is initially lower, equal and higher than the ambient medium, respe
ctively. We find that light and equal density radiative jets evolve in a qu
alitatively similar fashion with respect to the corresponding adiabatic one
s. Conversely, we note substantial differences in the evolution of heavy je
ts: they remain more collimated and do not spread out, while the momentum g
ained by the ambient medium stays within similar to 5 jet radii.