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Topics on Concentration Phenomena and Problems with Multiple Scales (2006)

Topics on Concentration Phenomena and Problems with Multiple Scales

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"Topics on Concentration Phenomena and Problems with Multiple Scales" by Andrea Braides is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

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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Best For: Researchers and graduate students in mathematics focusing on variational problems and multi-scale analysis.
Focus: Asymptotic analysis of variational problems exhibiting oscillation and concentration phenomena due to scale separation.
Covers: Multi-scale behavior in variational problems, including transitions from atomistic to continuous models, competition between bulk and surface energies, and homogenization techniques.
Why It Matters: Understanding these phenomena is crucial for advancing mathematical analysis in fields dealing with complex systems that involve multiple interacting scales.

"Topics on Concentration Phenomena and Problems with Multiple Scales" by Andrea Braides is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Andrea Braides

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorAndrea Braides
PublisherSpringer Science & Business Media
Published2006-08-14
ISBN-139783540362418
BindingPaperback
Pages342
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesLecture Notes Of The Unione Matematica Italiana

Format: Paperback

Length: 342 pages

Language: English

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