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TWO-SCALE CONVERGENCE FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

Pak, Hee-Chul

  • Published : 2003.07.01

Abstract

We introduce the notion of two-scale convergence for partial differential equations with random coefficients that gives a very efficient way of finding homogenized differential equations with random coefficients. For an application, we find the homogenized matrices for linear second order elliptic equations with random coefficients. We suggest a natural way of finding the two-scale limit of second order equations by considering the flux term.

Keywords

homogenization;2-scale convergence;partial differential equations with random coefficients;homogenized matrices;second order elliptic differential equations

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