Homogenization for time-dependent two-dimensional incompressible Gaussian flows

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Abstract

We consider the diffusive scaling limit for the transport of a passive scalar in a two-dimensional time-dependent incompressible Gaussian velocity field and in the presence of molecular diffusivity. We prove that homogenization holds in this limiting regime and we derive some simple properties of the effective diffusivity tensor.

Original languageEnglish (US)
Pages (from-to)265-279
Number of pages15
JournalAnnals of Applied Probability
Volume7
Issue number1
DOIs
StatePublished - Feb 1997

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Keywords

  • Gaussian fields
  • Homogenization
  • Lagrangian observations
  • Martingale central limit theorem

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