  We extend the discussion of the growth kinetics of the large-N time-dependent
Ginzburg-Landau model with an order parameter described by a $\Phi^6$ free
energy functional, to the conserved case. Quenches from a high temperature
initial state to a zero temperature state are studied for different selections
of parameters entering the effective potential. In all cases we obtain the
asymptotic form of the structure factor. As expected in analogy with the well
studied $\Phi^4$ model, we find multiscaling behavior whenever stable
equilibrium is reached in the ordering region. On the other hand the present
model also displays a novel feature, namely the occurrence of metastable
relaxation.
