  We present an analitical study of the dynamical process of the approach to
steady state for a driven diffusive system represented by the microemulsion
phase of a ternary mixture. The external applied field is given by a plane
Couette shear flow and the problem is studied within the framework of a
time-dependent Ginzburg-Landau model. A Fokker-Planck equation for the
probability distribution of the concentration fluctuations is developed in a
self-consistent one-loop approximation and solved exactly, giving an analytical
expression for the dynamic correlation functions of the system. For comparison
to experimental work, we also show grey-scale plots of the scattering function
at different times during the dynamical process for two different shear rates.
