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Isaac Newton Institute for Mathematical Sciences

Diffusion in narrow randomly perturbed tubes

26th June 2007

Author: Mark Freidlin (Maryland)

Abstract

I will discuss diffusion and reaction-diffusion in narrow tubes with periodic or random boundaries. A homogenization type result for the effective diffusion coefficient and for the asymptotic wavefront speed are calculated. Reaction-diffusion equations in a class of random nets of narrow tubes will be considered.