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Ergodic properties of a model for turbulent dispersion of inertial particles

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 Schroedinger equation in a random delta-correlated potential. The ergodic properties of the dispersion process are investigated by proving that its generator is hypoelliptic and using control theory.

preprint2010arXivOpen access
Krzysztof GawedzkiDavid P. HerzogJan Wehr
math-phmath.MPnlin.CD
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Open access3 authors3 topics
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Krzysztof GawedzkiDavid P. HerzogJan Wehr

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