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

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. S...

Full description

Saved in:
Bibliographic Details
Published inActa mathematica scientia Vol. 29; no. 4; pp. 777 - 802
Main Author 李杰权 盛万成 张同 郑玉玺
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2009
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China%Department of Mathematics, Shanghai University, Shanghai 200444, China%Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100190, China%Department of Mathematics, The Pennsylvania State University, UP, PA 16802, USA
Subjects
35L65
35L67
76J20
76N15
compressible Euler equation
delta-shocks
interaction of rarefaction waves
reflection of shocks
Riemann问题
two-dimensional Riemann problem
双曲型守恒律
可压缩Euler方程
气体动力学
reflection of shocks
76N15
delta-shocks
compressible Euler equation
76J20
35L67
two-dimensional Riemann problem
35L65
interaction of rarefaction waves
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(09)60070-9

Cover

More Information
Summary: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.
Bibliography:reflection of shocks
delta-shocks
two-dimensional Riemann problem; compressible Euler equation; reflection of shocks; interaction of rarefaction waves; delta-shocks
compressible Euler equation
42-1227/O
O175.27
two-dimensional Riemann problem
interaction of rarefaction waves
O175.2
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(09)60070-9