Homogenization for time-dependent two-dimensional incompressible Gaussian flows

Authors
Carmona, René A. Xu, Lin
Citation
A. Carmona, René et Xu, Lin, Homogenization for time-dependent two-dimensional incompressible Gaussian flows, Annals of applied probability , 7(1), 1997, pp. 265-279
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
7
Issue
1
Year of publication
1997
Pages
265 - 279
Database
ACNP
SICI code
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.