Andrea Braides,
Valeria Chiadò Piat
Springer Berlin Heidelberg
2006e druk, 2006
9783540362418
Topics on Concentration Phenomena and Problems with Multiple Scales
Specificaties
Paperback, 316 blz.
|
Engels
Springer Berlin Heidelberg |
2006e druk, 2006
ISBN13: 9783540362418
Rubricering
Onderdeel van serie
Lecture Notes of the Unione Matematica Italiana
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783540362418
Taal:Engels
Bindwijze:paperback
Aantal pagina's:316
Uitgever:Springer Berlin Heidelberg
Druk:2006
Inhoudsopgave
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.