Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 83, pp. 1-36.

Title: On homogenization of a diffusion perturbed by a periodic reflection
       invariant vector field
  
Author: Joseph G. Conlon (Univ. of Michigan, Ann Arbor, MI, USA)

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.
 
Submitted March 26, 2007. Published May 30, 2008.
Math Subject Classifications: 35R60, 60H30, 60J60.
Key Words: PDE with periodic coefficients; homogenization.