  We present a consistent picture of the recent JILA experiments on the
collapse of a Bose-Einstein condensate (BEC) [E. A. Donley, et al., Nature 412,
295 (2001)] based on a generalized Gross-Pitaevskii equation that incorporates
the effect of a three-body loss. The questions we address in this paper are:
(1) Why does a BEC survive, albeit partially, after the collapse? (2) Why does
the number of the remnant BEC atoms observed at JILA exceed the critical value?
(3) What is the origin of the atom burst? (4) What is the origin of the atom
jet and is it coherent? We review our predictions on pattern formation in the
course of collapse and on the split instability of vortices that can test our
collapsing theory.
