  Transport theory for the Nambu--Jona-Lasinio (NJL) model is examined. The
collision term is investigated in a first approach in a coupling strength
expansion. It can be demonstrated that this leads to a form easily recognized
from the Boltzmann equation if the quasiparticle approximation is used. It is
seen that enforcing a quasiparticle approximation suppresses the three body
creation and annihilation processes that would otherwise be present. Including
mesons and hadronization consistently in a $1/N_c$ expansion is discussed
briefly. Some comments on the numerical simulation of the Vlasov equation and
the relaxation time approximation to the collision term are made.
