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Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density
Farwig, Reinhard1; Qian, Chenyin2; Zhang, Ping3,4,5
2020-03-15
Source PublicationJOURNAL OF FUNCTIONAL ANALYSIS
ISSN0022-1236
Volume278Issue:5Pages:36
AbstractIn this paper, we study the incompressible inhomogeneous Navier-Stokes equations in bounded domains of R-3 involving bounded density functions rho = 1 + a. Based on the corresponding theory of Besov spaces on domains, we first obtain the global existence of weak solutions (rho, u) with initial data a(0) is an element of L-infinity(Omega), u(0) is an element of B-q, s(-1+3/q) (Omega) for 1 < q < 3, 1 < s < infinity. Furthermore, with additional regularity assumptions on the initial velocity, we also prove the uniqueness of such a solution. It is a generalization of a result established by Huang et al. (2013) [20] for the whole space R-3. (C) 2019 Elsevier Inc. All rights reserved.
KeywordIncompressible inhomogeneous fluid Bounded domain Bounded density Existence and uniqueness
DOI10.1016/j.jfa.2019.108394
Indexed BySCI
Language英语
Funding ProjectNSF of China[11371347] ; NSF of China[11688101] ; Morningside Center of Mathematics of the Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000508760700006
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50565
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Ping
Affiliation1.Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany
2.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, 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
Recommended Citation
GB/T 7714
Farwig, Reinhard,Qian, Chenyin,Zhang, Ping. Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2020,278(5):36.
APA Farwig, Reinhard,Qian, Chenyin,&Zhang, Ping.(2020).Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density.JOURNAL OF FUNCTIONAL ANALYSIS,278(5),36.
MLA Farwig, Reinhard,et al."Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density".JOURNAL OF FUNCTIONAL ANALYSIS 278.5(2020):36.
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