Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension

doi:10.1007/s10255-016-0576-7

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	Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension
	Huang, Fei-min1 ; Li, Xing 2
刊名	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
	2016-06-01
卷号	32 期号:2 页码:239-256
关键词	rarefaction wave compressible euler system radiating gas hyperbolic-elliptic system
ISSN号	0168-9673
DOI	10.1007/s10255-016-0576-7
英文摘要	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).
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
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000375233700001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22548]
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
推荐引用方式 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.