Koumatos, Konstantinos and Spirito, Stefano (2019) Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions. Communications on Pure and Applied Mathematics, 72 (6). pp. 1288-1320. ISSN 0010-3640

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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.

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:	10 Nov 2019 02:00
URI:	http://sro.sussex.ac.uk/id/eprint/73653

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