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...

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Autor Corporativo: SpringerLink (Online service)
Outros Autores: Braides, Andrea. (Editor, http://id.loc.gov/vocabulary/relators/edt), Chiadò Piat, Valeria. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Formato: Recurso Eletrônico livro eletrônico
Idioma:English
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edição:1st ed. 2006.
coleção:Lecture Notes of the Unione Matematica Italiana, 2
Assuntos:
Acesso em linha:https://doi.org/10.1007/978-3-540-36546-4
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Sumário:
  • 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.