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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Braides, Andrea (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes in Mathematics, 2094
Temas:
Mathematics.
Differential equations.
Mathematical optimization.
Calculus of variations.
Approximation theory.
Mathematical analysis.
Functional analysis.
Applications of Mathematics.
Differential Equations.
Calculus of Variations and Optimization.
Approximations and Expansions.
Analysis.
Functional Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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