Abstract

This write-up is a review of some old and some recent developments in the homogenization of fluid flows modelled by Stokes, Navier{Eth}Stokes, Euler, Advection-Diffusion equations. Oscillations may enter these systems through domains, the coef{Thorn}cients or through the initial data. Various phenomena involved in the homogenization process are highlighted. Even though the details of proof are omitted, the main ideas behind them are presented. © 2007 Elsevier B.V. All rights reserved.