Special Session 75: 

Quasiconvex Elastodynamics: weak-strong uniqueness for measure-valued solutions

Konstantinos Koumatos
University of Sussex
England
Co-Author(s):    Stefano Spirito
Abstract:
A weak-strong uniqueness result is presented for dissipative measure-valued solutions to the system of conservation laws arising in elastodynamics. The main novelty of this work is that the underlying stored-energy function is assumed strongly quasiconvex. The proof borrows tools from the calculus of variations to prove a Garding type inequality for quasiconvex functions, and recasts them to adapt the relative entropy method to quasiconvex energies.