CSpace  > 数学所
Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations
Huang, Xiangdi1; Li, Jing2,3
2018-03-01
Source PublicationARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN0003-9527
Volume227Issue:3Pages:995-1059
AbstractFor the three-dimensional full compressible Navier-Stokes system describing the motion of a viscous, compressible, heat-conductive, and Newtonian polytropic fluid, we establish the global existence and uniqueness of classical solutions with smooth initial data which are of small energy but possibly large oscillations where the initial density is allowed to vanish. Moreover, for the initial data, which may be discontinuous and contain vacuum states, we also obtain the global existence of weak solutions. These results generalize previous ones on classical and weak solutions for initial density being strictly away from a vacuum, and are the first for global classical and weak solutions which may have large oscillations and can contain vacuum states.
DOI10.1007/s00205-017-1188-y
Language英语
Funding ProjectNational Center for Mathematics and Interdisciplinary Sciences, CAS ; President Fund of Academy of Mathematics Systems Science, CAS[2014-cjrwlzx-hxd] ; NNSFC[11471321] ; NNSFC[11371064] ; NNSFC[11671412] ; NNSFC[11688101] ; NNSFC[11371348] ; NNSFC[11525106]
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000419766100005
PublisherSPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/159
Collection数学所
Corresponding AuthorHuang, Xiangdi
Affiliation1.Chinese Acad Sci, NCMIS, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, NCMIS,HLM, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Huang, Xiangdi,Li, Jing. Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2018,227(3):995-1059.
APA Huang, Xiangdi,&Li, Jing.(2018).Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,227(3),995-1059.
MLA Huang, Xiangdi,et al."Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 227.3(2018):995-1059.
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
[Huang, Xiangdi]'s Articles
[Li, Jing]'s Articles
Baidu academic
Similar articles in Baidu academic
[Huang, Xiangdi]'s Articles
[Li, Jing]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Huang, Xiangdi]'s Articles
[Li, Jing]'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.