  We study the evolution of local event-by-event deviations from smooth average
fluid dynamic fields, as they can arise in heavy ion collisions from the
propagation of fluctuating initial conditions. Local fluctuations around
Bjorken flow are found to be governed by non-linear equations whose solutions
can be characterized qualitatively in terms of Reynolds numbers. Perturbations
at different rapidities decouple quickly, and satisfy (after suitable
coordinate transformations) an effectively two-dimensional Navier-Stokes
equation of non-relativistic form. We discuss the conditions under which
non-linearities in these equations cannot be neglected and turbulent behavior
is expected to set in.
