Topics on Concentration Phenomena and Problems with Multiple Scales

• Corporate Author: SpringerLink (Online service)
• Other Authors: Braides, Andrea (Editor), Piat, Valeria Chiadò (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Lecture Notes of the Unione Matematica Italiana, 2
• Subjects: Mathematics.; Measure theory.; Partial differential equations.; Functions of real variables.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Measure and Integration.; Partial Differential Equations.; Real Functions.
• Physical Description: XII, 316 p. 5 illus. online resource.
• ISBN: 9783540365464
• ISSN: 1862-9113 ;

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.