Lecture Notes in Mathematics

Local Minimization, Variational Evolution and Γ-Convergence

Authors: Braides, Andrea

  • Provides connections between topics of active current research
  • Presents the subjects with examples from the main areas that have made Gamma-convergence so successful
  • Proposes numerous examples of directions of further research
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  • ISBN 978-3-319-01982-6
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About this book

This book addresses new questions related to the asymptotic description of converging energies from the standpoint of local minimization and variational evolution. It explores the links between Gamma-limits, quasistatic evolution, gradient flows and stable points, raising new questions and proposing new techniques. These include the definition of effective energies that maintain the pattern of local minima, the introduction of notions of convergence of energies compatible with stable points, the computation of homogenized motions at critical time-scales through the definition of minimizing movement along a sequence of energies, the use of scaled energies to study long-term behavior or backward motion for variational evolutions. The notions explored in the book are linked to existing findings for gradient flows, energetic solutions and local minimizers, for which some generalizations are also proposed.

Reviews

“The volume is carefully written and the material is organized in such a way that a Ph.D. student can gradually become familiar with Γ-convergence analysis and related tools. When possible, one-dimensional examples are chosen to illustrate the topics and several figures help the reader follow the presentation. The volume is very suitable for a Ph.D. course devoted to an audience with a good background in functional analysis, function spaces, and variational problems.” (Giuseppe Buttazzo, Mathematical Reviews, August, 2014)


Table of contents (11 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-01982-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-01981-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Local Minimization, Variational Evolution and Γ-Convergence
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2094
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-01982-6
DOI
10.1007/978-3-319-01982-6
Softcover ISBN
978-3-319-01981-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XI, 174
Number of Illustrations and Tables
42 b/w illustrations
Topics