Title Applications of Modern Methods in the Calculus of Variations to Nonlinear Elasticity: Relaxation and its Numerical Approximation
Abstract The calculus of variations has a long tradition in mathematical research and has seen in the past 25 years significant developments inspired by applications in nonlinear elasticity. The notion of quasiconvexity in the sense of Morrey plays a central role in existence theorems relying on the direct method in the calculus of variations. In this lecture, some of these aspects will be reviewed and then applied to recent relaxation results which allow the investigation of models in nonlinear elasticity including constraints like preservation of orientation or incompressibility. The use of these ideas in numerical schemes will also be briefly discussed.
This is joint work with Sergio Conti (Bonn).
Tea at 3 PM
Drinks afterwords in the mathematics library