Quasiconvex Elastodynamics: Weak-Strong Uniqueness for Measure-Valued Solutions

被引：7
|
作者：
Koumatos, Konstantinos [1 ,2 ]
Spirito, Stefano [2 ,3 ]
机构：
[1] Univ Sussex, Dept Math, Pevensey 2 Bldg, Brighton BN1 9QH, E Sussex, England
[2] GSSI, Laquila, Italy
[3] Univ Aquila, Dept Informat Engn Comp Sci & Math, Via Vetoio, I-67100 Laquila, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2019年 / 72卷 / 06期
关键词：
CAVITATION; REGULARITY;
D O I：
10.1002/cpa.21801
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 to be 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. (c) 2018 Wiley Periodicals, Inc.
引用
收藏
页码：1288 / 1320
页数：33
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