We study non-negative, measure-valued solutions to nonlinear drifttype
equations modelling concentration phenomena related to Bose-Einstein particles.
In one spatial dimension, we prove existence and uniqueness for measure
solutions. Moreover, we prove that all solutions blow up in finite time leading to
a concentration of mass only at the origin, and the concentrated mass absorbs increasingly
the mass converging to the total mass as t ! 1. Our analysis makes
a substantial use of independent variable scalings and pseudo-inverse functions
techniques.