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- Title
Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles.
- Authors
Gawȩdzki, Krzysztof; Herzog, David; Wehr, Jan
- 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.
- Subjects
ERGODIC theory; MATHEMATICAL models; TURBULENCE; STOCHASTIC differential equations; SCHRODINGER equation; HYPOELLIPTIC differential equations; CONTROL theory (Engineering); PARTICLES
- Publication
Communications in Mathematical Physics, 2011, Vol 308, Issue 1, p49
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-011-1343-5