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Communications in Mathematical Physics

, Volume 199, Issue 3, pp 649–681 | Cite as

Transport by Time Dependent Stationary Flow

  • Leonid Koralov

Abstract:

We consider transport properties for Gaussian, stationary, divergence free, random velocity fields in ℝ2, which are Markov in time. We prove the existence of effective diffusivity. We also obtain its full asymptotics in the case of short time correlations, on a fully rigorous level. The main regularity assumption is that almost every realization of the random velocity field should be continuous in space and time, and Lipschitz continuous in space.

Keywords

Velocity Field Stationary Flow Transport Property Time Correlation Effective Diffusivity 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Leonid Koralov
    • 1
  1. 1.School of Mathematics, Institute for Advanced Study, Olden Lane, Princeton, NJ 08540, USA.¶E-mail: koralov@math.ias.eduUS

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