STRUCTURAL STABILITY OF SOLUTIONS TO THE RIEMANN PROBLEM FOR A SCALAR NONCONVEX CJ COMBUSTION MODEL

doi:10.3934/dcds.2009.25.651

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	STRUCTURAL STABILITY OF SOLUTIONS TO THE RIEMANN PROBLEM FOR A SCALAR NONCONVEX CJ COMBUSTION MODEL
	Sheng, Wancheng 1; Zhang, Tong 2
	2009-10-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	25 期号:2 页码:651-667
摘要	The Riemann problem for the simplest scalar nonconvex CJ combustion model is considered. A set of entropy conditions are summarized, including pointwise entropy conditions and global entropy conditions. The later is according to the requirement of the structural stability. The unique self-similar entropy solution of the Riemann problem is constructed case by case. Transition from deflagration to detonation is shown, which dose not occur for the convex model.
关键词	Scalar nonconvex C-J combustion model pointwise and global entropy conditions structural stability Riemann problem transition from deflagration to detonation
DOI	10.3934/dcds.2009.25.651
语种	英语
资助项目	NSFC[10671120] ; Shanghai Leading Academic Discipline[J50101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000267797500015
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9141
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, AMSS, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sheng, Wancheng,Zhang, Tong. STRUCTURAL STABILITY OF SOLUTIONS TO THE RIEMANN PROBLEM FOR A SCALAR NONCONVEX CJ COMBUSTION MODEL[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2009,25(2):651-667.
APA	Sheng, Wancheng,&Zhang, Tong.(2009).STRUCTURAL STABILITY OF SOLUTIONS TO THE RIEMANN PROBLEM FOR A SCALAR NONCONVEX CJ COMBUSTION MODEL.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,25(2),651-667.
MLA	Sheng, Wancheng,et al."STRUCTURAL STABILITY OF SOLUTIONS TO THE RIEMANN PROBLEM FOR A SCALAR NONCONVEX CJ COMBUSTION MODEL".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 25.2(2009):651-667.