# Density of Inertial Particles: Exactly Solvable 2D Models

@article{Piterbarg2019DensityOI, title={Density of Inertial Particles: Exactly Solvable 2D Models}, author={Leonid I. Piterbarg}, journal={arXiv: Mathematical Physics}, year={2019} }

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.

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