Certain meteoritical inclusions contain evidence for the existence of short
-lived radioactivities such as Al-26 and Ca-41 at the time of their formati
on 4.566 billion years ago. Because the half-lives of these nuclides are so
short, this evidence requires that no more than about a million years elap
sed between their nucleosynthesis and their inclusion in cm-sized solids in
the solar nebula. This abbreviated time span can be explained if these nuc
lides were synthesized in a stellar source such as a supernova, and were th
en transported across the interstellar medium by the resulting shock wave,
which then triggered the gravitational collapse of the presolar molecular c
loud core. Detailed 2D and 3D numerical hydrodynamical models are reviewed
and show that such a scenario is consistent with the time scale constraint,
and with the need to both trigger collapse and to inject shock-wave matter
into the collapsing protostellar cloud and onto the protoplanetary disk fo
rmed by the collapse.