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A gas-solid free boundary problem for a compressible viscous gas
Huang, FM; Matsumura, A; Shi, XD
2003
Source PublicationSIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN0036-1410
Volume34Issue:6Pages:1331-1355
AbstractIn 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.
Keywordgas-solid free boundary compressible viscous gas traveling wave rarefaction wave
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000183459100006
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:20[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18224
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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