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

Koumatos, Konstantinos and Spirito, Stefano (2018) Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions. Communications on Pure and Applied Mathematics. ISSN 0010-3640

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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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Analysis and Partial Differential Equations Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Konstantinos Koumatos
Date Deposited: 19 Feb 2018 10:12
Last Modified: 27 Nov 2018 15:25
URI: http://srodev.sussex.ac.uk/id/eprint/73653

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