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arXiv · 1707.08368

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

Konstantinos Koumatos·Stefano Spirito
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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.

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Konstantinos Koumatos, Stefano Spirito. 2017-07-26. Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions. https://arxiv.org/abs/1707.08368

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