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On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum
Huang, Xiangdi
2020-02-17
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Pages18
AbstractWe consider the local well-posedness of strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with density containing vacuum initially. We first prove the local existence and uniqueness of the strong solutions, where the initial compatibility condition proposed by Cho et al. (2004), Cho and Kim (2006) and Choe and Kim (2003) is removed in a suitable sense. Then, the continuous dependence of strong solutions on the initial data is derived under an additional compatibility condition. Moreover, for the initial data satisfying some additional regularity and the compatibility condition, the strong solution is proved to be a classical one.
Keywordcompressible Navier-Stokes equations vacuum strong solutions classical solutions
DOI10.1007/s11425-019-9755-3
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11731007] ; National Natural Science Foundation of China[11671412] ; Youth Innovation Promotion Association, Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000520050600001
PublisherSCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51002
Collection中国科学院数学与系统科学研究院
Corresponding AuthorHuang, Xiangdi
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Huang, Xiangdi. On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum[J]. SCIENCE CHINA-MATHEMATICS,2020:18.
APA Huang, Xiangdi.(2020).On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum.SCIENCE CHINA-MATHEMATICS,18.
MLA Huang, Xiangdi."On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum".SCIENCE CHINA-MATHEMATICS (2020):18.
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