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Homogenization of random elliptic systems with an application to Maxwell's equations (1405.1858v1)

Published 8 May 2014 in math.AP

Abstract: We study the homogenization of elliptic systems of equations in divergence form where the coefficients are compositions of periodic functions with a random diffeomorphism with stationary gradient. This is done in the spirit of scalar stochastic homogenization by Blanc, Le Bris and P.-L. Lions. An application of the abstract result is given for Maxwell's equations in random dissipative bianisotropic media.

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