We show how Boltzmann-Nordheim kinetic theory is modified by the existence
of a Bose-Einstein condensate. The final result is a set of coupled equatio
ns between the condensate and the normal (thermal) component of the gas. Th
is system shows a possible exchange of mass between the condensate and the
normal component through a kind of induced emission preserving the coherenc
e of the condensate. (C) Academie des sciences/Elsevier, Paris.