广义Chaplygin气体交通流方程组的Riemann问题(英文)

郭俐辉

您当前的位置：

首页 >

文章列表页 >

广义Chaplygin气体交通流方程组的Riemann问题(英文)

数理科学 | 更新时间：2026-01-21

- 广义Chaplygin气体交通流方程组的Riemann问题(英文)
- 广义Chaplygin气体交通流方程组的Riemann问题(英文)
- 新疆大学学报（自然科学版中英文） 2013年30卷第2期页码：170-176
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  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)
- DOI：
  中图分类号： O175
- 纸质出版：2013
- 稿件说明：
移动端阅览
[1]郭俐辉.广义Chaplygin气体交通流方程组的Riemann问题(英文)[J].新疆大学学报(自然科学版),2013,30(02):170-176.

郭俐辉. 广义Chaplygin气体交通流方程组的Riemann问题(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(2): 170-176.
[1]郭俐辉.广义Chaplygin气体交通流方程组的Riemann问题(英文)[J].新疆大学学报(自然科学版),2013,30(02):170-176. DOI：

郭俐辉. 广义Chaplygin气体交通流方程组的Riemann问题(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(2): 170-176. DOI：

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.

Abstract

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.

关键词

Keywords

references

Aw A,Rascle M.Resurrection of”second order”models of traffic flow[J].SIAM J Appl Math,2000,60:918-938.

Daganzo C.Requiem for second order fluid appproximations of traffic flow[J].Transportation Res B,1995,29:277-286.

Greenberg J M,Klar A,Rascle M.Congestion on multilane highways[J].SIAM J Appl Math,2003,63:818-833.

Garavello M,Piccoli B.Traffic flow on a road network using the Aw-Rascle model[J].Comm Patial Differential Equations,2006,31:243-275.

Sun M N.Interactions of elementary waves for the Aw-Rascle model[J].SIAM J Appl Math,2009,69(2):1542-1558.

Chaplygin S.On gas jets[J].Sci Mem Moscow Univ Math Phys,1904,21:1-121.

Tsien H S.Two dimensional subsonic flow of compressible fluids[J].J Aeron Sci,1939,6:399-407.

Karman T.Compressibility effects in aerodynamics[J].J Aeron Sci,1941,8:337-365.

Bedran M L,Soares V,Arau′jo M E.Temperature evolution of the FRW universe filled with modified Chaplygin gas[J].Phys Lett,2008,659:462-465.

Wu Y B,Yang W Q,Wang C,Wang L.Modified Chaplygin gas as an interacting holographic dark energy model[J].Sci China Phys Mech Astron,2010,53(4):598-606.

Brenier Y.Solutions with concentration to the Riemann problem for one-dimensional Chaplygin gas equations[J].J Math Fluid Mech,2005,7:326-331.

Guo L H,Sheng W C,Zhang T.The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system[J].Communications on Pure and Applied Analysis,2010,9:431-458.

Chang T,Hsiao L.The Riemann problem an Interaction of Waves in Gas Dynamics[M].England:Longman Scientific and Technical,1989.

Chen G Q,Li Y C.Stability of Riemann solutions with large oscillation for the relativistic Euler equations[J].J Differential Equations,2004,202:332-353.

Courant R,Friedrichs K O.Supersonic Flow and Shock Waves[M].New York:Wiley,1948.

Lax P D.Hyperbolic system of conservation laws II[J].Comm Pure Appl Math,1957,10:537-566.

Li J Q,Zhang T,Yang S L.The two-dimensional Riemann problem in gas dynamics[M].England:Longman Scientific and Technical,1998.

Serre D.Multidimensional shock interaction for a Chaplygin gas[J].Arch Rational Mech Anal,2009,191:539-577.

Setare M R.Holographic Chaplygin gas model[J].Phys Lett B,2007,648:329-332.

Cheng H,Yang H.Riemann problem for the relativistic Chaplygin Euler equations[J].J Math Anal Appl,2011,381:17-26.

Sheng W C,Zhang T.The Riemann Problem for the Transportation Equations in Gas Dynamics[J].Mem Amer Math Soc,1999,137:654.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

AW-Rascle模型的Riemann解的压力消失极限

广义Chaplygin气体Euler方程组的Riemann问题

广义Chaplygin气体Aw-Rascle交通流方程组解奇异性的形成