We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
63/2001
Diffusion-advection in cellular flows with large Peclet numbers
Steffen Heinze
Abstract
For periodic two-dimensional incompressible cellular flows we provide explicit upper and lower estimates of the effective diffusivity which have the correct scaling behavior for large Peclet numbers. We demonstrate that all allowed scaling laws can occur. The bounds prove that there is no residual diffusion in the infinite Peclet number limit for Hölder continuous flows, answering a problem posed by Kozlov.
