  A Hartree-Fock mean-field theory of a weakly interacting Bose-gas in a
quenched white noise disorder potential is presented. A direct continuous
transition from the normal gas to a localized Bose-glass phase is found which
has localized short-lived excitations with a gapless density of states and
vanishing superfluid density. The critical temperature of this transition is as
for an ideal gas undergoing Bose-Einstein condensation. Increasing the
particle-number density a first-order transition from the localized state to a
superfluid phase perturbed by disorder is found. At intermediate number
densities both phases can coexist.
