, Volume 143, Issue 3-4, pp 545-568
Date: 08 Jan 2008

Diffusion in a locally stationary random environment

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Abstract

This paper deals with homogenization of diffusion processes in a locally stationary random environment. Roughly speaking, such an environment possesses two evolution scales: both a fast microscopic one and a smoothly varying macroscopic one. The homogenization procedure aims at giving a macroscopic approximation that takes into account the microscopic heterogeneities.