Global Well-Posedness and Exponential Stability of 3D Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains

doi:10.1007/s00205-020-01604-5

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	Global Well-Posedness and Exponential Stability of 3D Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains
	He, Cheng 1; Li, Jing2,3,4,5 ; Lu, Boqiang 6
	2021-01-05
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
页码	27
摘要	We consider the global existence and large-time asymptotic behavior of strong solutions to the Cauchy problem of the three-dimensional (3D) nonhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity and vacuum. After establishing some key a priori exponential decay-in-time rates of the strong solutions, we obtain both the global existence and exponential stability of strong solutions in the whole three-dimensional space, provided that the initial velocity is suitably small in some homogeneous Sobolev space which may be optimal compared with the case of homogeneous Navier-Stokes equations. Note that this result is proved without any smallness conditions on the initial density which contains vacuum and even has compact support.
DOI	10.1007/s00205-020-01604-5
收录类别	SCI
语种	英语
资助项目	National Center for Mathematics and Interdisciplinary Sciences, CAS ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11525106] ; National Natural Science Foundation of China[12071200] ; National Natural Science Foundation of China[11601218] ; National Natural Science Foundation of China[11971217] ; Double-Thousand Plan of Jiangxi Province[jxsq2019101008] ; Natural Science Foundation of Jiangxi Province[20202ACBL211002] ; Science and Technology Project of Jiangxi Provincial Education Department[GJJ160719]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000604851300001
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/57953
专题	数学所
通讯作者	He, Cheng
作者单位	1.Natl Nat Sci Fdn China, Dept Math & Phys Sci, Div Math, Beijing 100085, Peoples R China 2.Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 6.Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Jiangxi, Peoples R China
推荐引用方式 GB/T 7714	He, Cheng,Li, Jing,Lu, Boqiang. Global Well-Posedness and Exponential Stability of 3D Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2021:27.
APA	He, Cheng,Li, Jing,&Lu, Boqiang.(2021).Global Well-Posedness and Exponential Stability of 3D Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,27.
MLA	He, Cheng,et al."Global Well-Posedness and Exponential Stability of 3D Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2021):27.