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Homogenization in domains with “small holes”

  • Doina CioranescuEmail author
  • Alain Damlamian
  • Georges Griso
Chapter
Part of the Series in Contemporary Mathematics book series (SCMA, volume 3)

Abstract

This chapter is devoted to examples of the use of the unfolding method for various linear problems in domains perforated with small holes and with oscillating coefficients. For simplicity, in most cases, we prescribe a homogeneous Dirichlet boundary condition on the outer boundary of the domain, but more general boundary conditions can be handled provided the outer boundary is Lipschitz and the perforations do not intersect it. In each case, we obtain both the unfolded and the classical (standard) form for the limit problem.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Doina Cioranescu
    • 1
    Email author
  • Alain Damlamian
    • 2
  • Georges Griso
    • 1
  1. 1.Laboratoire J.L. LIonsUniversity Pierre et Marie CurieParisFrance
  2. 2.Laboratoire d’Analyse et Mathématiques AppliquéesUniversité Paris-Est Créteil Val de MarneCreteil, CedexFrance

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