A gas-solid free boundary problem for a compressible viscous gas

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	A gas-solid free boundary problem for a compressible viscous gas
	Huang, FM; Matsumura, A ; Shi, XD
	2003
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	34 期号:6 页码:1331-1355
摘要	In this paper we propose a gas-solid free boundary problem for a one-dimensional model system of a compressible viscous gas associated with the inflow problem, where the solid constantly changes into the gas and produces the inflow of the gas on the free boundary. We first show the existence of the traveling wave solution and its asymptotic stability. We further discuss the case in which the asymptotic state of the solution is given by a combination of the traveling wave solution and rarefaction wave.
关键词	gas-solid free boundary compressible viscous gas traveling wave rarefaction wave
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000183459100006
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/18224
专题	应用数学研究所
通讯作者	Huang, FM
作者单位	1.Osaka Univ, Dept Math, Grad Sch Sci, Osaka 5600045, Japan 2.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 3.Beijing Univ Technol & Chem, Dept Math, Grad Sch Sci, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Huang, FM,Matsumura, A,Shi, XD. A gas-solid free boundary problem for a compressible viscous gas[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2003,34(6):1331-1355.
APA	Huang, FM,Matsumura, A,&Shi, XD.(2003).A gas-solid free boundary problem for a compressible viscous gas.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,34(6),1331-1355.
MLA	Huang, FM,et al."A gas-solid free boundary problem for a compressible viscous gas".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 34.6(2003):1331-1355.