The generalized Riemann problem for the Aw-Rascle model with phase transitions

被引：2
|
作者：
Pan, Lijun [1 ]
Han, Xinli [2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China
[2] Nanjing Univ Posts & Telecommun, Coll Sci, Nanjing 210046, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 01期
基金：
中国国家自然科学基金;
关键词：
LWR-AR coupling traffic models; Phase transitions; The generalized Riemann problem; Nonlinear stability; VEHICULAR TRAFFIC FLOW; SHOCK-WAVES;
D O I：
10.1016/j.jmaa.2011.11.081
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved that the generalized Riemann problem for the Aw-Rascle vehicular traffic flow with phase transitions admits a unique local solution in the class of piecewise C-1 functions and in a neighborhood of the origin this solution possesses a structure similar to the solution of the corresponding Riemann problem. Especially, when the vacuum state is involved, the Riemann solution is also well-posed, which allows us to fit experimental data well. (C) 2011 Elsevier Inc. All rights reserved.
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页码：685 / 693
页数：9
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