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Topics on Concentration Phenomena and Problems with Multiple Scales

  • Book
  • © 2006

Overview

Part of the book series: Lecture Notes of the Unione Matematica Italiana (UMILN, volume 2)

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Table of contents (8 chapters)

  1. Problems with multiple scales

Keywords

About this book

The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena are a challenging topic of very active research. This volume includes lecture notes devoted to the asymptotic analysis of such problems when the multi-scale behaviour derives from scale separation in the passage from atomistic systems to continuous functionals, from competition between bulk and surface energies, from various types of homogenization processes (random, in perforated domains, on fractals), and to concentration effects in Ginzburg-Landau energies and in subcritical growth problems.

Editors and Affiliations

  • Dipartimento di Matematica, Università di Roma “Tor Vergata”, Roma, Italy

    Andrea Braides

  • Dipartimento di Matematica, Politecnico di Torino, Torino, Italy

    Valeria Chiadò Piat

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