| TWO-DIMENSIONAL RIEMANN PROBLEMS： FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS |
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| 引用本文： | 李杰权,盛万成,张同,郑玉玺.TWO-DIMENSIONAL RIEMANN PROBLEMS： FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS[J].数学物理学报(B辑英文版),2009,29(4):777-802. |
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| 作者姓名： | 李杰权 盛万成 张同 郑玉玺 |
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| 作者单位： | Li Jiequan(School of Mathematical Sciences, Capital Normal University, Beijing 100048, China);Sheng Wancheng(Department of Mathematics, Shanghai University, Shanghai 200444, China);Zhang Tong(Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100190, China);Zheng Yuxi(Department of Mathematics, The Pennsylvania State University, UP, PA 16802, USA) |
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| 基金项目： | Program for New Century Excellent Talents in University，Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality，The research of Sheng partially supported by NSFC，Shanghai Leading Academic Discipline Project: J50101，The research of Zhang partially supported by NSFC，The research of Zheng partially supported by NSF-DMS-0603859 |
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| 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.
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| 关 键 词： | 可压缩Euler方程 Riemann问题 二维 双曲型守恒律 法律 保护 气体动力学 标量 |
TWO-DIMENSIONAL RIEMANN PROBLEMS:FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS |
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| Li Jiequan,Sheng Wancheng,Zhang Tong,Zheng Yuxi.TWO-DIMENSIONAL RIEMANN PROBLEMS:FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS[J].Acta Mathematica Scientia,2009,29(4):777-802. |
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| Authors: | Li Jiequan Sheng Wancheng Zhang Tong Zheng Yuxi |
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| Institution: | [1]School of Mathematical Sciences, Capital Normal University, Beijing 100048, China [2]Department of Mathematics, Shanghai University, Shanghai 200444, China [3]Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100190, China [4]Department of Mathematics, The Pennsylvania State University, UP, PA 16802, USA |
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| Abstract: | two-dimensional Riemann problem compressible Euler equation reflection of shocks interaction of rarefaction waves delta-shocks |
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| Keywords: | two-dimensional Riemann problem compressible Euler equation reflection of shocks interaction of rarefaction waves delta-shocks |
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