Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (2): 230-241.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 35L60
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