Viscous shock wave to a gas-solid free boundary problem for compressible gas

doi:10.1137/S003614100240943X

CSpace > 应用数学研究所

	Viscous shock wave to a gas-solid free boundary problem for compressible gas
	Huang, FM; Matsumura, A ; Shi, XD
	2004
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	36 期号:2 页码:498-522
摘要	We continue to study the large time behavior of the solution to a gas-solid free boundary problem for a one-dimensional model system of compressible viscous gas proposed by us in [SIAM J. Math. Anal., 34 (2003), pp. 1331-1355], where the travelling wave and the rarefaction wave were investigated. In this paper we prove the asymptotic stability of the superposition of a travelling wave and a viscous shock wave under some smallness conditions. The asymptotic behavior of the free boundary is also obtained. The proof is given by the elementary energy estimate.
关键词	viscous shock wave gas-solid free boundary compressible gas
DOI	10.1137/S003614100240943X
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000224119200008
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/861
专题	应用数学研究所
通讯作者	Huang, FM
作者单位	1.Acad Sinica, AMSS, Inst Appl Math, Beijing 100080, Peoples R China 2.Beijing Univ Technol & Chem, Grad Sch Sci, Dept Math, Beijing 100029, Peoples R China 3.Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600045, Japan
推荐引用方式 GB/T 7714	Huang, FM,Matsumura, A,Shi, XD. Viscous shock wave to a gas-solid free boundary problem for compressible gas[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2004,36(2):498-522.
APA	Huang, FM,Matsumura, A,&Shi, XD.(2004).Viscous shock wave to a gas-solid free boundary problem for compressible gas.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,36(2),498-522.
MLA	Huang, FM,et al."Viscous shock wave to a gas-solid free boundary problem for compressible gas".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 36.2(2004):498-522.