The Riemann problem for the transportation equations in gas dynamics

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	The Riemann problem for the transportation equations in gas dynamics
	Sheng, WC ; Zhang, T
	1999
发表期刊	MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0065-9266
卷号	137 期号:654 页码:1-+
摘要	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.
关键词	1-D and 2-D Riemann problems Euler equations transportation equations gas dynamics Dirac delta wave Slip line vacuum viscous vanishing
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000078258000001
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14817
专题	中国科学院数学与系统科学研究院
通讯作者	Sheng, WC
作者单位	1.Xinjiang Univ, Inst Math & Phys, Dept Math, Urumqi 830046, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 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-+.