KMS Of Academy of mathematics and systems sciences, CAS
ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM | |
Huang, Feimin1,2; Tan, Wenke1,3 | |
2017 | |
发表期刊 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
ISSN | 0036-1410 |
卷号 | 49期号:5页码:3496-3526 |
摘要 | In 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. |
关键词 | ghost effect system strong solution ghost effect |
DOI | 10.1137/16M106964X |
语种 | 英语 |
资助项目 | NSFC[11371349] ; NSFC[11301174] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000416766900006 |
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/29181 |
专题 | 应用数学研究所 |
通讯作者 | Tan, Wenke |
作者单位 | 1.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 |
推荐引用方式 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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