On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum

doi:10.1007/s11425-019-9755-3

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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
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
页码	18
摘要	We 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.
关键词	compressible Navier-Stokes equations vacuum strong solutions classical solutions
DOI	10.1007/s11425-019-9755-3
收录类别	SCI
语种	英语
资助项目	National 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研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000520050600001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51002
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Xiangdi
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 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.