  We study the time evolution of an N-component model of bicontinuous
microemulsions based on a time dependent Ginzburg-Landau equation quenched from
an high temperature uncorrelated state to the low temperature phases. The
behavior of the dynamical structure factor $\tilde C(k,t)$ is obtained, in each
phase, in the framework of the large-$N$ limit with both conserved (COP) and
non conserved (NCOP) order parameter dynamics. At zero temperature the system
shows multiscaling in the unstructured region up to the tricritical point for
the COP whereas ordinary scaling is obeyed for NCOP. In the structured phase,
instead, the conservation law is found to be irrelevant and the form $\tilde
C(k,t) \sim t^{\alpha / z} f((|k-k_m| t^{1/z})$, with $\alpha=1$ and $z=2$, is
obtained in every case. Simple scaling relations are also derived for the
structure factor as a function of the final temperature of the thermal bath.
