Speaker
Dr
Antonio Tribuzio
(Universität Bonn)
Description
In recent years, the study of highly non-convex differential
inclusions increased a lot, also motivated by applications to materials
science. Due to the lack of convexity, according to the prescribed
regularity, there may be either many (flexibility) or one (rigidity) class
of solutions.
After introducing and motivating the problem, we try to find information
about the threshold regularity between rigidity and flexibility by studying
a simplified toy-model, the so-called Tartar square, by relaxing the problem
studying scaling laws of the related singularly-perturbed elastic energy. If
time permits, we will also see its geometrically-linearized analogous.
The results presented in this talk are in collaboration with Angkana Rüland.
