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Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations
Han, Pigong1,2; Liu, Chenggang1,2; Lei, Keke1,2; Wang, Xuewen1,2
2022-02-01
Source PublicationJOURNAL OF MATHEMATICAL FLUID MECHANICS
ISSN1422-6928
Volume24Issue:1Pages:22
AbstractIn this paper, we study the temporal decay properties of weak solutions to the inhomogeneous incompressible Navier-Stokes equations in R-n, n = 2, 3. The optimal L-2-decay rate is established, which coincides with that for the classical homogeneous Navier Stokes system. Additionally the viscosity coefficient is assumed to Lipschitz continuously depend on density without smallness condition, which is a weaker assumption. The initial data u(0) is only required to be in L-p (R-n) boolean AND L-2 (R-n), 1 <= p < 2.
KeywordNavier-Stokes equations Weak solution Decay rate
DOI10.1007/s00021-021-00636-5
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11871457] ; K. C. Wong Education Foundation ; Chinese Academy of Sciences ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS Research AreaMathematics ; Mechanics ; Physics
WOS SubjectMathematics, Applied ; Mechanics ; Physics, Fluids & Plasmas
WOS IDWOS:000750824200001
PublisherSPRINGER BASEL AG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/59942
Collection应用数学研究所
Corresponding AuthorHan, Pigong
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Han, Pigong,Liu, Chenggang,Lei, Keke,et al. Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2022,24(1):22.
APA Han, Pigong,Liu, Chenggang,Lei, Keke,&Wang, Xuewen.(2022).Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations.JOURNAL OF MATHEMATICAL FLUID MECHANICS,24(1),22.
MLA Han, Pigong,et al."Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations".JOURNAL OF MATHEMATICAL FLUID MECHANICS 24.1(2022):22.
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