Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system

doi:10.1007/s00526-015-0902-6

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	Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system
	Abidi, Hammadi 1; Zhang, Ping2,3
	2015-11-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	54 期号:3 页码:3251-3276
摘要	In this paper, we investigate the global regularity to 3-D inhomogeneous incompressible Navier-Stokes system with axisymmetric initial data which does not have swirl component for the initial velocity. We first prove that the norm to the quotient of the inhomogeneity by r, namely controls the regularity of the solutions. Then we prove the global regularity of such solutions provided that the norm of is sufficiently small. Finally, with additional assumption that the initial velocity belongs to for some we prove that the velocity field decays to zero with exactly the same rate as the classical Navier-Stokes system.
DOI	10.1007/s00526-015-0902-6
语种	英语
资助项目	Morningside Center of Mathematics, CAS ; NSF of China[11371037] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000363056100032
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21081
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Tunis Campus Univ, Fac Sci, Dept Math, Tunis 2092, Tunisia 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Abidi, Hammadi,Zhang, Ping. Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2015,54(3):3251-3276.
APA	Abidi, Hammadi,&Zhang, Ping.(2015).Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,54(3),3251-3276.
MLA	Abidi, Hammadi,et al."Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 54.3(2015):3251-3276.