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

文献类型：期刊论文

作者Sheng, Wancheng1; Zhang, Tong2
刊名DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
出版日期2009-10-01
卷号25期号:2页码:651-667
关键词Scalar nonconvex C-J combustion model pointwise and global entropy conditions structural stability Riemann problem transition from deflagration to detonation
ISSN号1078-0947
DOI10.3934/dcds.2009.25.651
英文摘要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.
资助项目NSFC[10671120] ; Shanghai Leading Academic Discipline[J50101]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000267797500015
出版者AMER INST MATHEMATICAL SCIENCES
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9140]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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