Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries

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	Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries
	He, Cheng ; Miyakawa, Tetsuro
	2006
发表期刊	INDIANA UNIVERSITY MATHEMATICS JOURNAL
ISSN	0022-2518
卷号	55 期号:5 页码:1483-1555
摘要	In a 2D exterior domain, we look for Navier-Stokes flows for which the associated total net force to the boundary vanishes (see (1.2)). It is shown that this is the case at each time whenever the initial velocity is summable and possesses some regularity and rotational symmetry. The result shows that this condition of summability, regularity and rotational symmetry is preserved in time. An asymptotic profile is deduced and a lower bound estimate on time-decay rates is found for such solutions. Moreover, existence is shown for flows with higher symmetry for which the time-decay rates exceed the above-mentioned lower bound. The decay rates are directly connected with the orders of groups of symmetry.
关键词	Navier-Stokes system exterior nonstationary problem total net force L-1-summability group symmetry asymptotic behavior
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000242108500001
出版者	INDIANA UNIV MATH JOURNAL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2525
专题	中国科学院数学与系统科学研究院
通讯作者	He, Cheng
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Kanazawa Univ, Grad Sch Nat Sci & Technol, Kanazawa, Ishikawa 9201192, Japan
推荐引用方式 GB/T 7714	He, Cheng,Miyakawa, Tetsuro. Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL,2006,55(5):1483-1555.
APA	He, Cheng,&Miyakawa, Tetsuro.(2006).Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries.INDIANA UNIVERSITY MATHEMATICS JOURNAL,55(5),1483-1555.
MLA	He, Cheng,et al."Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries".INDIANA UNIVERSITY MATHEMATICS JOURNAL 55.5(2006):1483-1555.