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 |
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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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