Convergence of Passive Scalars in Ornstein-Uhlenbeck Flows to Kraichnan's Model
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
We prove that the passive scalar field in the Ornstein-Uhlenbeck velocity field with wave-number dependent correlation times converges, in the white-noise limit, to that of Kraichnan's model with higher spatial regularity.
Keywords
Cite
@article{arxiv.math-ph/0209011,
title = {Convergence of Passive Scalars in Ornstein-Uhlenbeck Flows to Kraichnan's Model},
author = {Albert C. Fannjiang},
journal= {arXiv preprint arXiv:math-ph/0209011},
year = {2007}
}