On one hand, the burst constantly involves surrounding fluid into the turbulent motion. This process acts towards making the fluid more homogeneous. On the other hand, the turbulent energy distributes over larger volumes of space and decays due to a viscous dissipation. These processes act in the opposite direction. Evolution of the burst and the tracer are described by self-similar laws in the model of turbulence.
Analytical solutions show that the fluid remains substantially nonuniform inside the burst.
Of particular interest is to inspect if these solutions are attractors of other solutions originating from various initial conditions.