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Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension
Huang, Fei-min1; Li, Xing2
2016-06-01
发表期刊ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN0168-9673
卷号32期号:2页码:239-256
摘要In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are constructed. Furthermore, when the absorption coefficient a tends to infinity, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate alpha(-1/3) vertical bar ln alpha vertical bar(2).
关键词rarefaction wave compressible euler system radiating gas hyperbolic-elliptic system
DOI10.1007/s10255-016-0576-7
语种英语
资助项目NSFC[10825102] ; National Basic Research Program of China (973 Program)[2011CB808002] ; Youth foundation of Chinese[NSF 11301344]
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000375233700001
出版者SPRINGER HEIDELBERG
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/22549
专题应用数学研究所
通讯作者Li, Xing
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
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GB/T 7714
Huang, Fei-min,Li, Xing. Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2016,32(2):239-256.
APA Huang, Fei-min,&Li, Xing.(2016).Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,32(2),239-256.
MLA Huang, Fei-min,et al."Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 32.2(2016):239-256.
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