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广义Chaplygin气体交通流方程组的Riemann问题(英文) 被引量:1

The Riemann Problem of the Transport Equations for the Generalized Chaplygin Gas
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摘要 构造性的得到了广义Chaplygin气体交通流AW-Rascle(AR)模型Riemann问题的解.它包括三种解:前两种解包含R(疏散波)+J(接触间断)和S(激波)+J(接触间断),最后一种解是包含满足广义Rankine-Hugoniot和熵条件的Delta激波解. In this paper, the solutions to the Riemann problem of the AW-Rascle(AR) model of traffic flow for generalized Chaplygin gas are obtained constructively. There are three kinds of solutions. The first two contain R(rarefaction wave)+J(contact discontinuities) and S (shock wave)+J while the rest involves delta shock waves satisfying the generalized Rankine-Hugoniot relation and entropy condition.
作者 郭俐辉
出处 《新疆大学学报(自然科学版)》 CAS 2013年第2期170-176,共7页 Journal of Xinjiang University(Natural Science Edition)
基金 Supported by the Scientific Research Program of the Higher Education Institution of Xinjiang(XJEDU2011S02) the Ph.D Graduate Start Research Foundation of Xinjiang University Funded Project(No.BS100105 and BS090107) the National Natural Science Foundation of China(11101348)
关键词 AW-Rascle模型 RIEMANN问题 广义Chaplygin气体 线性退化 Delta激波 Aw-Rascle model Riemann problem generalized Chaplygin gas linear degenerate delta shock wave
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