Advertisement

Archive for Rational Mechanics and Analysis

, Volume 164, Issue 1, pp 73–101 | Cite as

Homogenization¶of Non-Uniformly Bounded Operators:¶Critical Barrier for Nonlocal Effects

  • Marc Briane

Abstract

This paper deals with the homogenization of a class of highly oscillating monotonic operators which are uniformly elliptic but non-uniformly bounded. We determine an asymptotic barrier below which we obtain a classical behaviour and above which nonlocal effects appear. We also prove that this condition is optimal in the case of a fibre-reinforced medium.

Keywords

Bound Operator Monotonic Operator Classical Behaviour Nonlocal Effect 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Marc Briane
    • 1
  1. 1.Centre de Mathématiques¶I.N.S.A. de Rennes & I.R.M.A.R.¶20, Avenue des Buttes de Coësmes,¶CS 14315¶35043 Rennes Cedex, France¶e-mail: mbriane@insa-rennes.frFR

Personalised recommendations