Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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TWO-SCALE CONVERGENCE FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

  • Published : 2003.07.01
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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.

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References

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