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ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM
Huang, Feimin1,2; Tan, Wenke1,3
2017
Source PublicationSIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN0036-1410
Volume49Issue:5Pages:3496-3526
AbstractIn this paper, the ghost effect system modeling the ghost effect phenomena for rarefied gas is investigated. It is shown that any strong solution of the Cauchy problem moves along the direction from the low temperature part to the high part at least on a nonzero measure domain for any time. This also holds for the initial boundary value problem with additional boundary conditions. The global well-posedness of the strong solution is further obtained for the 2 dimensional ghost effect system under some conditions on the temperature, while the initial velocity could be arbitrarily large.
Keywordghost effect system strong solution ghost effect
DOI10.1137/16M106964X
Language英语
Funding ProjectNSFC[11371349] ; NSFC[11301174]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000416766900006
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29181
Collection应用数学研究所
Affiliation1.Hunan Normal Univ, Coll Math & Comp Sci, Minist Educ China,Proc HPCSIP, Key Lab High Performance Comp & Stochast Informa, Changsha 410081, Hunan, Peoples R China
2.Hunan Normal Univ, Synerget Innovat Ctr Quantum Effect & Applicat, Changsha 410081, Hunan, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Huang, Feimin,Tan, Wenke. ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2017,49(5):3496-3526.
APA Huang, Feimin,&Tan, Wenke.(2017).ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,49(5),3496-3526.
MLA Huang, Feimin,et al."ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 49.5(2017):3496-3526.
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