Joseph G. Conlon
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
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