$T_5$ configurations and hyperbolic systems
Analysis of PDEs
2023-03-14 v2
Abstract
In this paper we study the rank-one convex hull of a differential inclusion associated to entropy solutions of a hyperbolic system of conservation laws. This was introduced in Section 7 of [Kirchheim, M\"uller, \v{S}ver\'ak, 2003] and many of its properties have already been shown in [Lorent, Peng, 2019]-[Lorent, Peng, 2020]. In particular, in [Lorent, Peng 2020] it is shown that the differential inclusion does not contain any configurations. Here we continue that study by showing that the differential inclusion does not contain configurations.
Cite
@article{arxiv.2208.10979,
title = {$T_5$ configurations and hyperbolic systems},
author = {Carl Johan Peter Johansson and Riccardo Tione},
journal= {arXiv preprint arXiv:2208.10979},
year = {2023}
}
Comments
Author's Accepted Manuscript