论文标题
BV设置中P-System的硬性限制
Hard-congestion limit of the p-system in the BV setting
论文作者
论文摘要
本说明与可压缩系统的严格理由有关，该系统具有可压缩系统的奇异压力，这些压力朝着混合压缩不可压缩的系统部分建模部分混乱的动力学，用于BV解决方案框架中的小数据。我们提出了以单个传播大型界面为代表的参考状态扰动的第一个收敛结果，而对更通用的框架的研究在结论中宣布了由多个界面前端构成的参考状态，并将成为即将发表的论文的主题。证明的一个关键要素是使用适当加权的GLIMM功能，该功能允许对前跟踪近似的BV标准获得精确的估计。
This note is concerned with the rigorous justification of the so-called hard congestion limit from a compressible system with singular pressure towards a mixed compressible-incompressible system modeling partially congested dynamics, for small data in the framework of BV solutions. We present a first convergence result for perturbations of a reference state represented by a single propagating large interface front, while the study of a more general framework where the reference state is constituted by multiple interface fronts is announced in the conclusion and will be the subject of a forthcoming paper. A key element of the proof is the use of a suitably weighted Glimm functional that allows to obtain precise estimates on the BV norm of the front-tracking approximation.
