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Local Minimization, Variational Evolution and Γ-Convergence

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...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Braides, Andrea (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Springer, 2014.
Édition:1st ed. 2014.
Collection:Lecture Notes in Mathematics, 2094
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • Introduction
  • Global minimization
  • Parameterized motion driven by global minimization
  • Local minimization as a selection criterion
  • Convergence of local minimizers
  • Small-scale stability
  • Minimizing movements
  • Minimizing movements along a sequence of functionals
  • Geometric minimizing movements
  • Different time scales
  • Stability theorems
  • Index.