Pathintegral approach to turbulence at the example of the Burger's equation

Anomalous scaling in the random-force-driven Burgers equation: A Monte Carlo study.
David Mesterhazy and Karl Jansen, New J.Phys. 13 (2011) 103028

Here is a little film, how a shock developes on the lattice

Another film, how structures are created in Burgers turbulence