Braides A Topics on Concentration Phenomena and Problems Multiple Scales 2006

Braides A Topics on Concentration Phenomena and Problems Multiple Scales 2006 | 9.2 MB
English | 325 Pages

Title: Topics on Concentration Phenomena and Problems with Multiple Scales (Lecture Notes of the Unione Matematica Italiana, 2)
Author: Andrea Braides
Year: 2006

Description:
The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when 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, and on concentration effects in Ginzburg-Landau energies and in subcritical growth problems.

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