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arXiv · 1405.1858

Homogenization of random elliptic systems with an application to Maxwell's equations

G. Barbatis·I. G. Stratis·A. N. Yannacopoulos
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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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G. Barbatis, I. G. Stratis, A. N. Yannacopoulos. 2014-05-08. Homogenization of random elliptic systems with an application to Maxwell's equations. https://arxiv.org/abs/1405.1858

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