Homogenization for advection-diffusion in a perforated domain

Details Homogenization for advection-diffusion in a perforated domain Homogenization for advection-diffusion in a perforated domain

2010-03-21

arxiv.org/abs/1003.3990v2

Mathematics

Probability

19 pages, 7 figures, To appear in Bingham, N. H., and Goldie, C. M. (eds), Probability and Mathematical Genetics: Papers in Ho

Scientific paper

The volume of a Wiener sausage constructed from a diffusion process with periodic, mean-zero, divergence-free velocity field, in dimension 3 or more, is shown to have a non-random and positive asymptotic rate of growth. This is used to establish the existence of a homogenized limit for such a diffusion when subject to Dirichlet conditions on the boundaries of a sparse and independent array of obstacles. There is a constant effective long-time loss rate at the obstacles. The dependence of this rate on the form and intensity of the obstacles and on the velocity field is investigated. A Monte Carlo algorithm for the computation of the volume growth rate of the sausage is introduced and some numerical results are presented for the Taylor--Green velocity field.

Affiliated with

Also associated with

No associations

Rating

Homogenization for advection-diffusion in a perforated domain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homogenization for advection-diffusion in a perforated domain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homogenization for advection-diffusion in a perforated domain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-316567