  We show how the continuity equations expressing conservation of topological
point or string defect charge can be used to determine the order-parameter
correlation function for the phase-ordering kinetics of the O(n) model in the
special case where the order parameter is constrained to be near a defect core.
In this regime we find a self-consistent solution by assuming the order
parameter is Gaussian. The resulting linear equation for the order-parameter
correlation function has as its solution the Ohta-Jasnow-Kawasaki form.
