2019/07/03 by Leonid I. Piterbarg, Leonid Piterbarg, Piterbarg, Leonid
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Aeolian processes and effects #Gas Dynamics and Kinetic Theory #Particle Dynamics in Fluid Flows #math-ph #math.MP #msc:62M20 #msc:76F25 #msc:76F55 #msc:86A05
paper · pdf · doi:10.48550/arxiv.1907.02147
14 pages
arxiv created 2019/07/03 · arxiv updated 2019/07/05
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.