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

Authors :
Barbatis, G.
Stratis, I. G.
Yannacopoulos, A. N.
Source :
Mathematical Models & Methods in Applied Sciences. Jun2015, Vol. 25 Issue 7, p1365-1388. 24p.
Publication Year :
2015

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 Lions. An application of the abstract result is given for Maxwell's equations in random dissipative bianisotropic media. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02182025
Volume :
25
Issue :
7
Database :
Academic Search Index
Journal :
Mathematical Models & Methods in Applied Sciences
Publication Type :
Academic Journal
Accession number :
108302908
Full Text :
https://doi.org/10.1142/S0218202515500359