Aw-Rascle模型Riemann解的稳定性

摘要

In this paper, we propose an entropy inequality, and using it, the stability of the Riemann solutions for the Aw-Rascle model is gotten when the initial data include vacuum.The entropy in the inequality is strong and locally strictly convex, which is a new phenomenon.%提出了一个熵不等式,利用它得到了Aw-Rascle模型[1]Riemann问题初值含真空时解的稳定性.在此熵不等式中,熵是局部严格强凸的,这是一个新的现象.