Department of Mathematics, University of Michigan
Ann Arbor, MI 48109-1109, USA
email: conlon@umich.edu
Joseph G. Conlon
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.
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Joseph G. Conlon Department of Mathematics, University of Michigan Ann Arbor, MI 48109-1109, USA email: conlon@umich.edu |
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