WIAS Preprint No. 723, (2002)

A simple but rigorous micro-macro transition



Authors

  • Dreyer, Wolfgang
  • Herrmann, Michael

2010 Mathematics Subject Classification

  • 35D05

Keywords

  • Micro-macro transitions, Multiscale problems, Young measures

Abstract

This paper is devoted to a case study of micro-macro transitions. The main objective is the mathematically rigorous description of the macroscopic behavior of highly oscillating microscopic variables. In particular, we show that the theory of Young measures provides an elegant approach to this problem. A nontrivial application of the results is given in WIAS-Preprint 724.

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