On homogenization of a diffusion perturbed by a periodic reflection invariant vector field

Joseph G. Conlon

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On homogenization of a diffusion perturbed by a periodic reflection invariant vector field

Joseph G. Conlon

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Abstract

In this paper the author studies the problem of the homogenization of a diffusion perturbed by a periodic reflection invariant vector field. The vector field is assumed to have fixed direction but varying amplitude. The existence of a homogenized limit is proven and formulas for the effective diffusion constant are given. In dimension $d=1$ the effective diffusion constant is always less than the constant for the pure diffusion. In $d>1$ this property no longer holds in general.

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Joseph G. Conlon. 2006-09-25. On homogenization of a diffusion perturbed by a periodic reflection invariant vector field. https://arxiv.org/abs/math/0609712

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