Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles

被引：0
|
作者：
Krzysztof Gawȩdzki
David P. Herzog
Jan Wehr
机构：
[1] Université de Lyon,Laboratoire de Physique, C.N.R.S., ENS
[2] The University of Arizona,Lyon
[3] Duke University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2011年 / 308卷
关键词：
Invariant Measure; Stochastic Differential Equation; Inertial Particle; Dispersion Process; Ergodic Property;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：49 / 80
页数：31
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