Density of Inertial Particles: Exactly Solvable 2D Models
arXiv:1907.02147
Abstract
Inertial particles in 2D driven by a Gaussian white noise forcing are considered. For two examples of the forcing (compressible and incompressible) upper and lower bounds are found for the mean number of caustics as a function of Stokes number. Efficiency of the bounds is verified by numerical methods.
14 pages