TY - JOUR
T1 - Two-dimensional Riemann problems
T2 - from scalar conservation laws to compressible Euler equations
AU - Jiequan, Li
AU - Wancheng, Sheng
AU - Tong, Zhang
AU - Yuxi, Zheng
N1 - Funding Information:
∗Received December 29, 2008. The research of Li partially 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) and 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) and 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
PY - 2009/7
Y1 - 2009/7
N2 - In this paper we survey the authors' and related work on two-dimensional Rie-mann 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.
AB - In this paper we survey the authors' and related work on two-dimensional Rie-mann 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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U2 - 10.1016/S0252-9602(09)60070-9
DO - 10.1016/S0252-9602(09)60070-9
M3 - Article
AN - SCOPUS:65549085651
SN - 0252-9602
VL - 29
SP - 777
EP - 802
JO - Acta Mathematica Scientia
JF - Acta Mathematica Scientia
IS - 4
ER -