AI 中文总结
本文研究速度映射非单调时，用Follow-the-Leader粒子格式近似一维标量守恒律的熵解，基于离散最大值原理等得到极限为Kružkov意义下的熵解。
AI 中文摘要
本文针对速度映射非单调的情况，通过所谓的“跟随领导者”粒子格式求解一维标量守恒律的熵解近似。该结果基于离散最大值原理、近似密度的BV估计，以及极限作为Kružkov意义下熵解的刻画。
英文摘要
This paper addresses the approximation of entropy solutions to a one-dimensional scalar conservation law via the so-called Follow-the-Leader particle scheme in case the velocity map is \emph{non monotone}. The result is based on a discrete maximum principle, on $BV$ estimates of the approximated density, and on the characterization of the limit as entropy solution in the sense of Kru\v zkov.
