A simple example of intrinsic turbulence (Q1188209)

We discuss a very simple equation that has unique solution and show how, with the aid of nonstandard analysis, we can produce a candidate for intrinsic turbulence. The essence is to use non-standard analysis to rescale time at the point of turbulence, so that we have a much finer picture of what is happening to the probability measure as it becomes non-Dirac. The Loeb measure provides a standard measure on the finer time scalar with which we can describe the evolution in a standard way.