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Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions
journal contribution
posted on 2023-06-09, 12:12 authored by Konstantinos KoumatosKonstantinos Koumatos, Stefano SpiritoA 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.
History
Publication status
- Published
File Version
- Accepted version
Journal
Communications on Pure and Applied MathematicsISSN
0010-3640Publisher
WileyExternal DOI
Issue
6Volume
72Page range
1288-1320Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Analysis and Partial Differential Equations Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes