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

G. Barbatis; I. G. Stratis; A. N. Yannacopoulos

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

Analysis of PDEs 2014-05-09 v1

Authors: G. Barbatis , I. G. Stratis , A. N. Yannacopoulos

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.

Keywords

homogenization random elliptic systems divergence form random diffeomorphism stationary gradient Maxwell's equations bianisotropic media

Cite

@article{arxiv.1405.1858,
  title  = {Homogenization of random elliptic systems with an application to Maxwell's equations},
  author = {G. Barbatis and I. G. Stratis and A. N. Yannacopoulos},
  journal= {arXiv preprint arXiv:1405.1858},
  year   = {2014}
}

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22 pages

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

Abstract

Keywords

Cite

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