Topics on Concentration Phenomena and Problems with Multiple Scales
Lecture Notes of the Unione Matematica Italiana 2
Braides, Andrea / Chiadò Piat, /
Erscheinungsjahr:
2006
Beschreibung
InhaltsangabeProblems 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.
Autorenportrait
InhaltsangabePreface.- Part I: Problems with multiple scales.- A. Braides, M. S. Gelli: From discrete systems to continuous variational problems: an introduction.- A. Defranceschi: Relaxation for bulk and interfacial energies.- R. Peirone: Convergence of Dirichlet forms on fractals.- G. A. Chechkin: Homogenization in perforated domains.- A. Piatnitski: Homogenization of random non stationary parabolic operators.- Part II: Problems with concentration.- A. Garroni: Gamma-convergence for concentration problems.- S. Serfaty: Gamma-convergence of gradient flows and applications to Ginzburg-Landau vortex dynamics.- D. Smets: PDE analysis of concentrating energies for the Ginzburg-Landau equation.