  A fluid flow in a multiply connected domain generated by an arbitrary number
of point vortices is considered. A stream function for this flow is constructed
as a limit of a certain functional sequence using the method of images. The
convergence of this sequence is discussed, and the speed of convergence is
determined explicitly. The presented formulas allow for the easy computation of
the values of the stream function with arbitrary precision in the case of
well-separated cylinders. The considered problem is important for applications
such as eddy flows in the oceans. Moreover, since finding the stream function
of the flow is essentially identical to finding the modified Green's function
for Laplace's equation, the presented method can be applied to a more general
class of applied problems which involve solving the Dirichlet problem for
Laplace's equation.
