• Corpus ID: 195798713

Density of Inertial Particles: Exactly Solvable 2D Models

  title={Density of Inertial Particles: Exactly Solvable 2D Models},
  author={Leonid I. Piterbarg},
  journal={arXiv: Mathematical Physics},
  • L. Piterbarg
  • Published 3 July 2019
  • Physics
  • arXiv: Mathematical Physics
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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