论文标题
$ T_5 $配置和双曲线系统
$T_5$ configurations and hyperbolic systems
论文作者
论文摘要
在本文中，我们研究了与双曲线保护定律的熵解决方案相关的差分包含的排名一凸壳。这是在[Kirchheim，Müller，šverák，2003年]的第7节中介绍的，它的许多特性已经在[Lorent，Peng，2019]中显示了 - [Lorent，Peng，2020年]。特别是，在[Lorent，Peng 2020]中，显示出差分包含不包含任何$ T_4 $配置。在这里，我们通过表明差异包含不包含$ T_5 $配置来继续进行这项研究。
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, Müller, Šverák, 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 $T_4$ configurations. Here we continue that study by showing that the differential inclusion does not contain $T_5$ configurations.
