• Corpus ID: 195798713

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}
}
  • 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. 

Figures from this paper

References

SHOWING 1-10 OF 10 REFERENCES

The Top Lyapunov Exponent for a Stochastic Flow Modeling the Upper Ocean Turbulence

  • L. Piterbarg
  • Physics, Environmental Science
    SIAM J. Appl. Math.
  • 2002
It is found that the Coriolis effect can radically improve the prediction of a Lagrangian particle position based on observations of other particles.

Statistical models for spatial patterns of heavy particles in turbulence

The dynamics of heavy particles suspended in turbulent flows is of fundamental importance for a wide range of questions in astrophysics, atmospheric physics, oceanography, and technology. Laboratory

Statistical Fluid Mechanics: The Mechanics of Turbulence

This book, originally published in Moscow in 1965, is of interest to a wide scientific and technical audience, including geophysicists, meteorologists, aerodynamicists, chemical, mechanical, and

Distribution of the time to explosion for one-dimensional diffusions

We study the distribution of the time to explosion for one-dimensional diffusions. We relate this question to the computation of expectations of suitable nonnegative local martingales. Moreover, we

“A and B”:

Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.

Spectral gaps and exponential integrability of hitting times for linear diffusions

Let X be a regular continuous positively recurrent Markov process with state space R, scale function S and speed measure m. For a ∈ R denote B+ a = sup x≥a m (]x,+∞[)(S(x) − S(a)), B− a = sup x≤a m

Brownian Motion and Stochastic Calculus

1 Preliminaries of Measure Theory De…nition 1 F P ( ) is said to be an algebra if (1) 2 F (2) A;B 2 F implies A S B 2 F (3) A 2 F implies AC 2 F . F is said to be a semialgebra or semi-ring is (1) ;?

Handbook Of Mathematical Functions

The handbook of mathematical functions is universally compatible with any devices to read and is available in the digital library an online access to it is set as public so you can get it instantly.

Inertial particles driven by a telegraph noise.

The model allows for an analytic investigation of the role of time correlation of the flow in the aggregation-disorder transition of inertial particles, and the asymptotics of short- and long-correlated flows are discussed, as well as the fluid-tracer limit.