%0 Journal Article
%T On homogenization of a diffusion perturbed by a periodic reflection invariant vector field
%A Joseph G. Conlon
%J Electronic Journal of Differential Equations
%D 2008
%I Texas State University
%X 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.
%K PDE with periodic coefficients
%K homogenization
%U http://ejde.math.txstate.edu/Volumes/2008/83/abstr.html