# Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles

Krzysztof Gawȩdzki, David P. Herzog, Jan Wehr

Research output: Contribution to journalArticle

6 Citations (Scopus)

### Abstract

We study a simple stochastic differential equation that models the dispersion of close heavy particles moving in a turbulent flow. In one and two dimensions, the model is closely related to the one-dimensional stationary Schrödinger equation in a random δ-correlated potential. The ergodic properties of the dispersion process are investigated by proving that its generator is hypoelliptic and using control theory.

Original language English (US) 49-80 32 Communications in Mathematical Physics 308 1 https://doi.org/10.1007/s00220-011-1343-5 Published - Nov 2011

### Fingerprint

control theory
Control Theory
Turbulent Flow
turbulent flow
One Dimension
Stochastic Equations
Two Dimensions
differential equations
generators
Generator
Differential equation
Model

### ASJC Scopus subject areas

• Statistical and Nonlinear Physics
• Mathematical Physics

### Cite this

Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles. / Gawȩdzki, Krzysztof; Herzog, David P.; Wehr, Jan.

In: Communications in Mathematical Physics, Vol. 308, No. 1, 11.2011, p. 49-80.

Research output: Contribution to journalArticle

Gawȩdzki, Krzysztof ; Herzog, David P. ; Wehr, Jan. / Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles. In: Communications in Mathematical Physics. 2011 ; Vol. 308, No. 1. pp. 49-80.
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