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

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.

arXiv comment22 pages

References in corpus (2)

• Gradient estimates for parabolic and elliptic systems from linear laminates
• On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients