---

＜電子ブック＞
Topics on Concentration Phenomena and Problems with Multiple Scales / edited by Andrea Braides, Valeria Chiadò Piat
(Lecture Notes of the Unione Matematica Italiana. ISSN:18629121 ; 2)

版	1st ed. 2006.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XII, 316 p. 5 illus : online resource
著者標目	Braides, Andrea editor Chiadò Piat, Valeria editor SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Measure theory LCSH:Differential equations LCSH:Functions of real variables FREE:Calculus of Variations and Optimization FREE:Measure and Integration FREE:Differential Equations FREE:Real Functions
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-540-36546-4

 類似資料