Generalised Riemann problem for Euler system

被引：2

作者：

Chen ShuXing ^{[1
]}

Li DeNing ^{[2
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] West Virginia Univ, Dept Math, Morgantown, WV 26506 USA

来源：

SCIENCE CHINA-MATHEMATICS | 2017年 / 60卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Euler system; Riemann problem; shock; rarefaction wave; contact discontinuity or vortex sheet; BOUNDARY-VALUE-PROBLEMS; LINEAR HYPERBOLIC SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; 2 INDEPENDENT VARIABLES; COMPRESSIBLE VORTEX SHEETS; EXISTENCE THEOREMS; NONLINEAR DEVELOPMENT; CONSERVATION-LAWS; INSTABILITIES; RAREFACTION;

D O I：

10.1007/s11425-016-0437-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is a survey on the progress in the study of the generalized Riemann problems for MD Euler system. A new result on generalized Riemann problems for Euler systems containing all three main nonlinear waves (shock, rarefaction wave and contact discontinuity) is also introduced.

引用

页码：581 / 592

页数：12

共 50 条

[1] EXISTENCE OF RAREFACTION WAVES FOR MULTI-DIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS
ALINHAC, S
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1989, 14 (02) : 173 - 230
[2] [Anonymous], ACTA MATH SINICA
[3] NONLINEAR DEVELOPMENT OF INSTABILITIES IN SUPERSONIC VORTEX SHEETS .2. RESONANT INTERACTION AMONG KINK MODES
ARTOLA, M
MAJDA, AJ
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1989, 49 (05) : 1310 - 1349
[4] NONLINEAR DEVELOPMENT OF INSTABILITIES IN SUPERSONIC VORTEX SHEETS .1. THE BASIC KINK MODES
ARTOLA, M
MAJDA, AJ
[J]. PHYSICA D, 1987, 28 (03): : 253 - 281
[5] DOUBLE SHOCK FRONTS FOR HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS IN MULTIDIMENSIONAL SPACE
BUI, AT
LI, D
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 316 (01) : 233 - 250
[6] Chang T, 2000, DISCRET CONTIN DYN S, V6, P419
[7] Chang T., 1995, Disc. Cont. Dyna. Syst, V1, P555
[8] Chen S., 2007, Front. Math. China, V2, P87, DOI [10.1007/s11464-007-0006-5, DOI 10.1007/S11464-007-0006-5]
[9] Chen SX, 2010, PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL III: INVITED LECTURES, P1884
[10] Cauchy problem with general discontinuous initial data along a smooth curve for 2-d Euler system
Chen, Shuxing
Li, Dening
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 257 (06) : 1939 - 1988

← 1 2 3 4 5 →