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.

引用

页码：685 / 693

页数：9

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