Topics on Concentration Phenomena and Problems with Multiple Scales 2006th Edition

Topics on Concentration Phenomena and Problems with Multiple Scales 2006th Edition book cover

Topics on Concentration Phenomena and Problems with Multiple Scales 2006th Edition

Author(s): Andrea Braides (Editor), Valeria Chiadò Piat

  • Publisher: Springer
  • Publication Date: August 14, 2006
  • Edition: 2006th
  • Language: English
  • Print length: 328 pages
  • ISBN-10: 354036241X
  • ISBN-13: 9783540362418

Book Description

The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when 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, and on concentration effects in Ginzburg-Landau energies and in subcritical growth problems.

Editorial Reviews

From the Back Cover

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.

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