Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains

doi:10.4171/PM/1857

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	Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains
	Han, Pigong
	2010
发表期刊	PORTUGALIAE MATHEMATICA
ISSN	0032-5155
卷号	67 期号:1 页码:57-74
摘要	In this paper we consider the regularity of weak solutions and find some regular criteria for 3D non-stationary Navier Stokes equations. Moreover, we establish decay rates for weak solutions in general domains by means of the spectral decomposition method of fractional powers of the Stokes operator.
关键词	Navier-Stokes equations Serrin's condition regularity criterion
DOI	10.4171/PM/1857
语种	英语
资助项目	National Natural Science Foundation, China[10631030]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000297578200003
出版者	EUROPEAN MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10277
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Han, Pigong. Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains[J]. PORTUGALIAE MATHEMATICA,2010,67(1):57-74.
APA	Han, Pigong.(2010).Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains.PORTUGALIAE MATHEMATICA,67(1),57-74.
MLA	Han, Pigong."Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains".PORTUGALIAE MATHEMATICA 67.1(2010):57-74.