Variational models for pattern formation in materials


The formation of patterns or microstructures in materials can often be understood as the result of a competition between different energy contributions, for example an elastic bulk energy and a (higher order) surface energy. Among many others, typical examples include microstrcuctures in shape-memory alloys, shape formation in elastically strained thin crystalline films, and the formation of rafts in biomembranes. In this talk, I shall discuss some recent analytical results on the associated variational problems, which typically involve vectorial, non-convex nonlinear functionals.

Valeria Hünniger

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Francesca Arici

Radboud University Nijmegen

Tatjana Eisner

Leipzig University

Barbara Gentz

University of Bielefeld

Angkana Rüland

Max Planck Institute for Mathematics in the Sciences

Rebecca Waldecker

Martin-Luther-University Halle-Wittenberg

Milena Wrobel

Carl von Ossietzky Universität Oldenburg