Research

Our research focuses on the field of applied analysis, more precisely the variational calculus and the theory of non-linear partial differential equations. The problems are mostly motivated by questions from applications, for example in materials sience, geosciences, image processing, and more recently also the theory of machine learning.

We  development new methods for the treatment of variational multi-scale problems,  and address in particular,

•  Non-convex variational problems,  notion of convexity terms, relaxation
•  Asymptotic analysis, Gamma-convergence, dimension reduction, homogenization
•  PDE constraints, differential inclusions
•  Rigidity, nonlocality
•  Mathematical models in the theory of elasticity and plasticity