TWO-DIMENSIONAL RIEMANN PROBLEMS: FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS

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	TWO-DIMENSIONAL RIEMANN PROBLEMS: FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS
	Li Jiequan 1; Sheng Wancheng 2; Zhang Tong 3; Zheng Yuxi 4
	2009-07-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	29 期号:4 页码:777-802
摘要	In this paper we survey the authors' and related work on two-dimensional Riemann problems for hyperbolic conservation laws, mainly those related to the compressible Euler equations in gas dynamics. It contains four sections: 1. Historical review. 2. Scalar conservation laws. 3. Euler equations. 4. Simplified models.
关键词	two-dimensional Riemann problem compressible Euler equation reflection of shocks interaction of rarefaction waves delta-shocks
语种	英语
资助项目	973 Key program ; Beijing Educational Commission[KZ200910028002] ; Program for New Century Excellent Talents in University (NCET) ; NSFC[10671120] ; Shanghai Leading Academic Discipline Project[J50101] ; NSF[NSF-DMS-0603859]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000272545200001
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7225
专题	中国科学院数学与系统科学研究院
通讯作者	Li Jiequan
作者单位	1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 4.Penn State Univ, Dept Math, University Pk, PA 16802 USA
推荐引用方式 GB/T 7714	Li Jiequan,Sheng Wancheng,Zhang Tong,et al. TWO-DIMENSIONAL RIEMANN PROBLEMS: FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS[J]. ACTA MATHEMATICA SCIENTIA,2009,29(4):777-802.
APA	Li Jiequan,Sheng Wancheng,Zhang Tong,&Zheng Yuxi.(2009).TWO-DIMENSIONAL RIEMANN PROBLEMS: FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS.ACTA MATHEMATICA SCIENTIA,29(4),777-802.
MLA	Li Jiequan,et al."TWO-DIMENSIONAL RIEMANN PROBLEMS: FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS".ACTA MATHEMATICA SCIENTIA 29.4(2009):777-802.