Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations

doi:10.1007/s00021-021-00636-5

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	Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations
	Han, Pigong1,2 ; Liu, Chenggang 1,2; Lei, Keke 1,2; Wang, Xuewen 1,2
	2022-02-01
发表期刊	JOURNAL OF MATHEMATICAL FLUID MECHANICS
ISSN	1422-6928
卷号	24 期号:1 页码:22
摘要	In 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.
关键词	Navier-Stokes equations Weak solution Decay rate
DOI	10.1007/s00021-021-00636-5
收录类别	SCI
语种	英语
资助项目	National 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研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000750824200001
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59942
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	1.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
推荐引用方式 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.