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

doi:10.1007/s11425-019-9755-3

	On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum
	Huang, Xiangdi
刊名	SCIENCE CHINA-MATHEMATICS
	2020-02-17
页码	18
关键词	compressible Navier-Stokes equations vacuum strong solutions classical solutions
ISSN号	1674-7283
DOI	10.1007/s11425-019-9755-3
英文摘要	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.
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
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000520050600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51001]
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.