Homogenization for advection-diffusion in a perforated domain

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 diffus...

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Hlavní autoři: Haynes, P, Hoang, V, Norris, J, Zygalakis, K
Médium: Journal article
Vydáno: 2010