The subject of this meeting was mathematical modeling of strongly interacting multi-particle systems that can be interpreted as advanced materials. The main emphasis was placed on contributions attempting to bridge the gap between discrete and continuum approaches, focusing on the multi-scale nature of physical phenomena and bringing new and nontrivial mathematics. The mathematical debates concentrated on nonlinear PDE, stochastic dynamical systems, optimal transportation, calculus of variations and large deviations theory.
Cite this article
Antonio DeSimone, Stephan Luckhaus, Lev Truskinovsky, Material Theories. Oberwolfach Rep. 10 (2013), no. 4, pp. 3433–3485DOI 10.4171/OWR/2013/59