Homogenization of a diffusion process in a divergence-free random field

We study the homogenization problem for a diffusion process in a divergence-free random drift field. In particular, in case of a small Gaussian field we derive an asymptotic expansion of the effective diffusion matrix in terms of its spectral density.

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Bibliographic Details
Main Author: Oelschläger, Karl (Author)
Format: Article (Journal)
Language:English
Published: 1988
In: The annals of probability
Year: 1988, Volume: 16, Issue: 3, Pages: 1084-1126
ISSN:2168-894X
DOI:10.1214/aop/1176991679
Online Access:Verlag, Volltext: http://dx.doi.org/10.1214/aop/1176991679
Verlag, Volltext: http://projecteuclid.org/euclid.aop/1176991679
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Author Notes:by Karl Oelschläger
Description
Summary:We study the homogenization problem for a diffusion process in a divergence-free random drift field. In particular, in case of a small Gaussian field we derive an asymptotic expansion of the effective diffusion matrix in terms of its spectral density.
Item Description:Gesehen am 08.06.2018
Physical Description:Online Resource
ISSN:2168-894X
DOI:10.1214/aop/1176991679