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

文献类型：期刊论文

作者He, Cheng1; Li, Jing2,3,4,5; Lu, Boqiang6
刊名ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
出版日期2021-01-05
页码27
ISSN号0003-9527
DOI10.1007/s00205-020-01604-5
英文摘要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.
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
语种英语
WOS记录号WOS:000604851300001
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57952]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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