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具有负压力的Aw-Rascle交通流的Riemann问题
引用本文:王国栋.具有负压力的Aw-Rascle交通流的Riemann问题[J].数学年刊A辑(中文版),2014,35(1):73-82.
作者姓名:王国栋
作者单位:安徽建筑大学数理系, 合肥 230601.
基金项目:安徽省教育厅自然科学重点基金 (No.KJ2012A055)
摘    要:研究了广义Chaplygin气体的Aw-Rascle交通流的Riemann问题,构建了它的古典和非古典Riemann解.借助广义Rankine-Hugoniot关系和δ-激波熵条件,获得了δ-激波解的存在性和唯一性,并且给出一些数值模拟来阐明此分析.

关 键 词:Aw-Rascle交通流    广义Chaplygin气体    $\delta$-激波

The Riemann Problem for the Aw-Rascle Traffic Flow Model with Negative Pressure
WANG Guodong.The Riemann Problem for the Aw-Rascle Traffic Flow Model with Negative Pressure[J].Chinese Annals of Mathematics,2014,35(1):73-82.
Authors:WANG Guodong
Institution:Department of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China.
Abstract:This paper deals with the Riemann problem for the Aw-Rascle traffic flow model with the generalized Chaplygin gas and construct the classical and nonclassical solutions. Under the generalized Rankine-Hugoniot relation and $\delta$-entropy condition, the author obtains the existence and uniqueness of $\delta$-shock solutions and presents some numerical simulations to illustrate the analysis.
Keywords:Aw-Rascle traffic flow  Generalized Chaplygin gas  $\delta$-shock wave
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