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  • © 2006

Topics on Concentration Phenomena and Problems with Multiple Scales

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. Front Matter

    Pages I-XI
  2. Problems with multiple scales

    1. Front Matter

      Pages 1-1
    2. Relaxation for bulk and interfacial energies

      • Anneliese Defranceschi
      Pages 79-138
    3. Convergence of Dirichlet forms on fractals

      • Roberto Peirone
      Pages 139-188
    4. Homogenization in perforated domains

      • Gregory A. Chechkin
      Pages 189-208
  3. Problems with concentration

    1. Front Matter

      Pages 232-232
    2. Γ-convergence for concentration problems

      • Adriana Garroni
      Pages 233-266
  4. Back Matter

    Pages 315-317

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

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access