Abstract for the talk on 29.05.2018 (15:15 h)Oberseminar ANALYSIS - PROBABILITY
Antonin Chambolle (CMAP, Ecole Polytechnique)
Existence of minimizers for brittle fracture problems in linearized elasticity
29.05.2018, 15:15 h, MPI für Mathematik in den Naturwissenschaften Leipzig, A3 01 (Sophus-Lie-SR)
In this talk I will describe some results obtained in collaboration with Sergio Conti (Bonn), Gilles Francfort (Paris Nord), Flaviana Iurlano (Paris) and Vito Crismale (Palaiseau) on the existence and properties of minimizers of energies which arise in the variational approach to fracture. I will recall the basics of the theory, discuss some mathematical difficulties and describe some approaches to address them.