CSpace  > 数学所
On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow
Liao, Xian; Zhang, Ping
2016-06-01
Source PublicationARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN0003-9527
Volume220Issue:3Pages:937-981
AbstractRegarding P.-L. Lions' open question in Oxford Lecture Series in Mathematics and its Applications, Vol. 3 (1996) concerning the propagation of regularity for the density patch, we establish the global existence of solutions to the two-dimensional inhomogeneous incompressible Navier-Stokes system with initial density given by for some small enough constant and some domain , with initial vorticity belonging to and with appropriate tangential regularities. Furthermore, we prove that the regularity of the domain is preserved by time evolution.
DOI10.1007/s00205-015-0945-z
Language英语
Funding ProjectMCM ; NSF of China[11371347] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000371800100001
PublisherSPRINGER
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22215
Collection数学所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Liao, Xian,Zhang, Ping. On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2016,220(3):937-981.
APA Liao, Xian,&Zhang, Ping.(2016).On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,220(3),937-981.
MLA Liao, Xian,et al."On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 220.3(2016):937-981.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liao, Xian]'s Articles
[Zhang, Ping]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liao, Xian]'s Articles
[Zhang, Ping]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liao, Xian]'s Articles
[Zhang, Ping]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.