CSpace
The Riemann problem for the transportation equations in gas dynamics
Sheng, WC; Zhang, T
1999
Source PublicationMEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0065-9266
Volume137Issue:654Pages:1-+
AbstractThe one-dimensional and two-dimensional Riemann problems for the transportation equations in gas dynamics have been solved constructively. In either 1-D or 2-D case, there are only two kinds of solutions, the one involves Dirac delta waves, and the other involves vacuums which has merely discussed so far. The generalized Rankine-Hugoniot and entropy conditions for Dirac delta waves have been clarified with viscous vanishing method. All of the existence, uniqueness and stability for viscous perturbations have been proved analytically. The system of equations is a coupled one instead of the decoupled ones discussed before in 1-D case involving Dirac delta waves.
Keyword1-D and 2-D Riemann problems Euler equations transportation equations gas dynamics Dirac delta wave Slip line vacuum viscous vanishing
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000078258000001
PublisherAMER MATHEMATICAL SOC
Citation statistics
Cited Times:99[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14817
Collection中国科学院数学与系统科学研究院
Affiliation1.Xinjiang Univ, Inst Math & Phys, Dept Math, Urumqi 830046, Peoples R China
2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Sheng, WC,Zhang, T. The Riemann problem for the transportation equations in gas dynamics[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY,1999,137(654):1-+.
APA Sheng, WC,&Zhang, T.(1999).The Riemann problem for the transportation equations in gas dynamics.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY,137(654),1-+.
MLA Sheng, WC,et al."The Riemann problem for the transportation equations in gas dynamics".MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 137.654(1999):1-+.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Sheng, WC]'s Articles
[Zhang, T]'s Articles
Baidu academic
Similar articles in Baidu academic
[Sheng, WC]'s Articles
[Zhang, T]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Sheng, WC]'s Articles
[Zhang, T]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.