Topics on Concentration Phenomena and Problems with Multiple Scales

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 separa...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Braides, Andrea (Editor ), Chiadò Piat, Valeria (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Lecture Notes of the Unione Matematica Italiana, 2
Temas:
Mathematical optimization.
Calculus of variations.
Measure theory.
Differential equations.
Functions of real variables.
Calculus of Variations and Optimization.
Measure and Integration.
Differential Equations.
Real Functions.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Problems with multiple scales
  • From discrete systems to continuous variational problems: an introduction
  • Relaxation for bulk and interfacial energies
  • Convergence of Dirichlet forms on fractals
  • Homogenization in perforated domains
  • Homogenization of random non stationary parabolic operators
  • Problems with concentration
  • ?-convergence for concentration problems
  • Gamma-convergence of gradient flows and applications to Ginzburg-Landau vortex dynamics
  • PDE analysis of concentrating energies for the Ginzburg-Landau equation.

Ejemplares similares