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Density of Inertial Particles: Exactly Solvable 2D Models

Mathematical Physics 2019-07-05 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1907.02147,
  title  = {Density of Inertial Particles: Exactly Solvable 2D Models},
  author = {Leonid Piterbarg},
  journal= {arXiv preprint arXiv:1907.02147},
  year   = {2019}
}

Comments

14 pages

R2 v1 2026-06-23T10:11:45.683Z