Homogenization for advection-diffusion in a perforated domain

Journal article

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...

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Authors: Haynes, P; Hoang, V; Norris, J; Zygalakis, K

• Publication date: 2010-01-01