数学物理学报 ›› 2013, Vol. 33 ›› Issue (2): 230-241.

• 论文 • 上一篇    下一篇

Aw-Rascle 模型Riemann 解的稳定性

张婷婷   

  1. 中国科学院武汉物理与数学研究所 武汉 430071
  • 收稿日期:2011-12-29 修回日期:2012-09-30 出版日期:2013-04-25 发布日期:2013-04-25
  • 基金资助:

    国家自然科学基金(11171340)资助

The Stability of the Riemann Solutions for Aw-Rascle Model

 ZHANG Ting-Ting   

  1. Wuhan Institute of Physics and Mathematics the Chinese Academy of Sciences, Wuhan 430071
  • Received:2011-12-29 Revised:2012-09-30 Online:2013-04-25 Published:2013-04-25
  • Supported by:

    国家自然科学基金(11171340)资助

摘要:

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.

关键词: 稳定性, Riemann 问题, 熵不等式, 真空, Aw-Rascle 模型

Abstract:

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.

Key words: Stability, Riemann problem, Entropy inequality, Vacuum, Aw-Rascle model

中图分类号: 

  • 35L60