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

作　　者：李杰权 盛万成 张同 郑玉玺 

机构地区：[1]School of Mathematical Sciences, Capital Normal University [2]Department of Mathematics, Shanghai University [3]Institute of Mathematics, AMSS, Chinese Academy of Sciences [4]Department of Mathematics, The Pennsylvania State University

出　　处：《Acta Mathematica Scientia》2009年第4期777-802,共26页数学物理学报（B辑英文版）

基　　金：supported by 973 Key program and the Key Program from Beijing Educational Commission with No. KZ200910028002;Program for New Century Excellent Talents in University (NCET);Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (PHR-IHLB);The research of Sheng partially supported by NSFC (10671120);Shanghai Leading Academic Discipline Project: J50101;The research of Zhang partially supported by NSFC (10671120);The research of Zheng partially supported by NSF-DMS-0603859

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.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 

分 类 号：O175[理学—数学]