Topics on Concentration Phenomena and Problems with Multiple Scales
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Beschreibung
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.
Includes supplementary material: sn.pub/extras
Autor*in
Andrea Braides
Themen in »Topics on Concentration Phenomena and Problems with Multiple Scales«
Gamma-convergence Ginzburg-Landau equations concentration phenomena homogenization multiple-scale problems partial differential equation partial differential equations