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 language | English (US) |
|---|---|
| Pages (from-to) | 265-279 |
| Number of pages | 15 |
| Journal | Annals of Applied Probability |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| State | Published - 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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