KMS Of Academy of mathematics and systems sciences, CAS
The Riemann problem for the transportation equations in gas dynamics | |
Sheng, WC; Zhang, T | |
1999 | |
Source Publication | MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY |
ISSN | 0065-9266 |
Volume | 137Issue:654Pages:1-+ |
Abstract | The 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. |
Keyword | 1-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 Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000078258000001 |
Publisher | AMER MATHEMATICAL SOC |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/14817 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 1.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-+. |
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