Click on the corresponding images to view the clips. Please be aware that some of these clips are of size 400KB and may take a moment to load up. Each occured with equal probability. For comparison, the deterministic evolution of this initial datum stalls within 2000 time steps, i.e., the cross remains stationary and is extremely sensitive to small perturbations in the initial state. These perturbations do not change the probabilities of these 2 events in any observable way with the stochastic scheme.
Random fluctuations resolve fattening and non uniqueness in the flow.
Again, random fluctuations resolve fattening and non uniqueness in the flow. Again, random fluctuations resolve this non uniqueness and in this situation gives rise to only one type of evolution. The 2 circles are observed to join up, forming a dumbell-like outline with probability 1.