Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations

doi:10.1007/s00205-017-1188-y

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	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
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	227 期号:3 页码:995-1059
摘要	For 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.
DOI	10.1007/s00205-017-1188-y
语种	英语
资助项目	National 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研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000419766100005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/159
专题	数学所
通讯作者	Huang, Xiangdi
作者单位	1.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
推荐引用方式 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.