Variationelle Modellierung in den Materialwissenschaften - Einzelansicht

A large variety of physical and mechanical models with variational structure contain small parameters of either constitutive or geometrical nature. The well-known examples include descriptions of fine scale mixtures in composite materials, lattice systems with characteristic atomic scales and, in general, a range of physical models with a microstructure or exhibiting some kind of microscopic phenomenon.

Scope of this course is the asymptotic analysis of energies depending on a small parameter from the stand point of global minimization and Gamma-convergence. The development of a general theory will be complemented by many concrete examples such as homogenization problems, segmentation problems, phase transition problems, and free discontinuity problems.

Analysis I - III ( Variationsrechnung ist hilfreich)

Um die Vorlesung als Bestanden eintragen zu lassen, benötigen Sie die regelmäßige Teilnahme an der Vorlesung und die Übungen müssen ebenfalls bestanden sein.