Effective models for materials and interfaces with multiple scales (C05)

• Subject Area: Mathematics
• Term: from 2014 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 235221301

This project develops analytical techniques for the mathematical study of discrete or continuous materials, where we focus on models with variational structures. In particular, we advance the methods for static and evolutionary Gamma convergence based on well-chosen model problems. The variational structures are derived from thermodynamic or stochastic principles. The considered applications include processes in periodic or stochastic materials or interfaces, such as friction or spatiotemporal chemical master equations.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1114: Scaling Cascades in Complex Systems
• Applicant Institution: Freie Universität Berlin
• Project Heads: Professorin Dr. Dorothee Knees, until 6/2018; Professor Dr. Alexander Mielke