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

文献类型：期刊论文

作者Sheng, Wancheng1; Sun, Meina1; Zhang, Tong2
刊名SIAM JOURNAL ON APPLIED MATHEMATICS
出版日期2007
卷号68期号:2页码:544-561
关键词scalar nonconvex CJ combustion model generalized Riemann problem detonation deflagration
ISSN号0036-1399
DOI10.1137/060672650
英文摘要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].
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000251836700011
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/4267]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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