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Topics on Concentration Phenomena and Problems with Multiple Scales

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ISBN-10: 354036241X

ISBN-13: 9783540362418

Edition: 2006

Authors: Andrea Braides, Valeria Chiad� Piat

List price: $74.99
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The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena are a challenging topic of very active research. This volume collects 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 concentation effects in Ginzburg-Landau energies and in subcritical growth problems.
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Book details

List price: $74.99
Copyright year: 2006
Publisher: Springer Berlin / Heidelberg
Publication date: 8/14/2006
Binding: Paperback
Pages: 316
Size: 6.10" wide x 9.25" long x 0.75" tall
Weight: 2.266

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 oeprators
[Gamma]-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