Topics on Concentration Phenomena and Problems with Multiple Scales
Publication year: 2006
ISBN: 978-3-540-36546-4
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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.
Subject: Mathematics and Statistics, Gamma-convergence, Ginzburg-Landau equations, concentration phenomena, homogenization, multiple-scale problems, partial differential equation
