A cartoon for the climbing ramp problem of a shock and von Neumann paradox

doi:10.1007/s00205-006-0024-6

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	A cartoon for the climbing ramp problem of a shock and von Neumann paradox
	Sheng, Wancheng ; Zhang, Tong
	2007-05-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	184 期号:2 页码:243-255
摘要	The climbing ramp problem of a shock for two-dimensional scalar conservation laws is considered. By use of the generalized characteristic analysis method, we prove constructively that there are only three configurations of solutions: regular reflection-like, Mach reflection-like and von Neumann reflection-like for a kind of flux function of the conservation laws and some initial data. The criteria for these three configurations are obtained. Furthermore, a necessary condition for the appearance of regular reflection in gas dynamics is presented.
DOI	10.1007/s00205-006-0024-6
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000245123900002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5153
专题	中国科学院数学与系统科学研究院
通讯作者	Sheng, Wancheng
作者单位	1.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sheng, Wancheng,Zhang, Tong. A cartoon for the climbing ramp problem of a shock and von Neumann paradox[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2007,184(2):243-255.
APA	Sheng, Wancheng,&Zhang, Tong.(2007).A cartoon for the climbing ramp problem of a shock and von Neumann paradox.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,184(2),243-255.
MLA	Sheng, Wancheng,et al."A cartoon for the climbing ramp problem of a shock and von Neumann paradox".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 184.2(2007):243-255.