First-order expansion of homogenized coefficients under Bernoulli perturbations

Jean Christophe Mourrat

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)68-101
Number of pages34
JournalJournal des Mathematiques Pures et Appliquees
Volume103
Issue number1
DOIs
StatePublished - Jan 1 2015

Keywords

  • Bernoulli perturbation
  • Clausius-Mossotti formula
  • Homogenization
  • Random media

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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