Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles

  • Krzysztof Gawȩdzki
  • David P. HerzogEmail author
  • Jan Wehr


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.


Invariant Measure Stochastic Differential Equation Inertial Particle Dispersion Process Ergodic Property 
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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Krzysztof Gawȩdzki
    • 1
  • David P. Herzog
    • 2
    • 3
    Email author
  • Jan Wehr
    • 2
  1. 1.Laboratoire de Physique, C.N.R.S., ENS-LyonUniversité de LyonLyonFrance
  2. 2.Department of MathematicsThe University of ArizonaTucsonUSA
  3. 3.Department of MathematicsDuke UniversityDurhamUSA

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