Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions
Analysis of PDEs
2020-07-17 v3
Abstract
A weak-strong uniqueness result is proved for measure-valued solutions to the system of conservation laws arising in elastodynamics. The main novelty brought forward by the present work is that the underlying stored-energy function of the material is assumed strongly quasiconvex. The proof employs tools from the calculus of variations to establish general convexity-type bounds on quasiconvex functions and recasts them in order to adapt the relative entropy method to quasiconvex elastodynamics.
Keywords
Cite
@article{arxiv.1707.08368,
title = {Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions},
author = {Konstantinos Koumatos and Stefano Spirito},
journal= {arXiv preprint arXiv:1707.08368},
year = {2020}
}
Comments
revised version