The generalized riemann problem for a scalar nonconvex chapman-jouguet combustion model

doi:10.1137/060672650

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	The generalized riemann problem for a scalar nonconvex chapman-jouguet combustion model
	Sheng, Wancheng 1; Sun, Meina 1; Zhang, Tong 2
	2007
发表期刊	SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN	0036-1399
卷号	68 期号:2 页码:544-561
摘要	The generalized Riemann problem for a scalar nonconvex Chapman-Jouget combustion model in a neighborhood of the origin ( t > 0) on the ( x, t) plane is considered. Under the entropy conditions, we exhibit the construction of the solutions. It can be observed that, for some cases, there are essential differences between the structures of the perturbed Riemann solutions and the corresponding Riemann solutions. Especially, a strong detonation in the corresponding Riemann solution may turn into a weak deflagration followed by a shock wave after perturbation, which appears in the numerical simulations of Bao and Jin [J. Comput. Phys., 163 (2000), pp. 216-248] and Zhang and Ying [J. Comput. Math., 23 (2005), pp. 337-350].
关键词	scalar nonconvex CJ combustion model generalized Riemann problem detonation deflagration
DOI	10.1137/060672650
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000251836700011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4268
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, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sheng, Wancheng,Sun, Meina,Zhang, Tong. The generalized riemann problem for a scalar nonconvex chapman-jouguet combustion model[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2007,68(2):544-561.
APA	Sheng, Wancheng,Sun, Meina,&Zhang, Tong.(2007).The generalized riemann problem for a scalar nonconvex chapman-jouguet combustion model.SIAM JOURNAL ON APPLIED MATHEMATICS,68(2),544-561.
MLA	Sheng, Wancheng,et al."The generalized riemann problem for a scalar nonconvex chapman-jouguet combustion model".SIAM JOURNAL ON APPLIED MATHEMATICS 68.2(2007):544-561.