First-order expansion of homogenized coefficients under Bernoulli perturbations

Divergence-form operators with stationary random coefficients homogenize over large scales. We investigate the effect of certain perturbations of the medium on the homogenized coefficients. The perturbations considered are rare at the local level, but when occurring, have an effect of the same order of magnitude as the initial medium itself. The main result of the paper is a first-order expansion of the homogenized coefficients, as a function of the perturbation parameter. (C) 2014 Elsevier Masson SAS. All rights reserved.


Published in:
Journal De Mathematiques Pures Et Appliquees, 103, 1, 68-101
Year:
2015
Publisher:
Paris, Gauthier-Villars/Editions Elsevier
ISSN:
0021-7824
Keywords:
Laboratories:




 Record created 2015-02-20, last modified 2018-03-17


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)