Lecture Notes of the Unione Matematica Italiana
cover

Topics on Concentration Phenomena and Problems with Multiple Scales

Editors: Braides, Andrea, Chiadò Piat, Valeria (Eds.)

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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.

Table of contents (8 chapters)

Table of contents (8 chapters)
  • From discrete systems to continuous variational problems: an introduction

    Braides, Andrea (et al.)

    Pages 3-77

  • Relaxation for bulk and interfacial energies

    Defranceschi, Anneliese

    Pages 79-138

  • Convergence of Dirichlet forms on fractals

    Peirone, Roberto

    Pages 139-188

  • Homogenization in perforated domains

    Chechkin, Gregory A.

    Pages 189-208

  • Homogenization of random non stationary parabolic operators

    Piatnitski, Andrey

    Pages 209-230

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-540-36546-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
  • ISBN 978-3-540-36241-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Topics on Concentration Phenomena and Problems with Multiple Scales
Editors
  • Andrea Braides
  • Valeria Chiadò Piat
Series Title
Lecture Notes of the Unione Matematica Italiana
Series Volume
2
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-36546-4
DOI
10.1007/978-3-540-36546-4
Softcover ISBN
978-3-540-36241-8
Series ISSN
1862-9113
Edition Number
1
Number of Pages
XII, 316
Number of Illustrations
5 b/w illustrations
Topics