| 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,2014,35(1):73~82 |
| 具有负压力的Aw-Rascle交通流的Riemann 问题 |
| The Riemann Problem for the Aw-Rascle Traffic Flow Model with Negative Pressure |
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| DOI： |
| 中文关键词: Aw-Rascle交通流, 广义Chaplygin气体, $\delta$-激波 |
| 英文关键词:Aw-Rascle traffic flow, Generalized Chaplygin gas, $\delta$-shock
wave |
| 基金项目:安徽省教育厅自然科学重点基金 (No.KJ2012A055) |
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| 中文摘要: |
| 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$\delta$-激波熵条件, 获得了$\delta$-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. |
| 英文摘要: |
| 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. |
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