REMARK ON THE SPATIAL REGULARITY FOR THE NAVIER-STOKES EQUATIONS

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	REMARK ON THE SPATIAL REGULARITY FOR THE NAVIER-STOKES EQUATIONS
	He, Cheng
	2008-08-28
发表期刊	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	1072-6691
页码	8
摘要	Let u be a Leray-Hopf weak solution to the Navier-Stokes equations. We will show that the set of possible singular points of the vector field resulting from integrating the velocity u with respect to time has Hausdorff dimension zero.
关键词	Partial regularity Navier-Stokes equations Leray-Hopf weak solution
语种	英语
资助项目	National Natural Science Foundation[10431060] ; 973 key Program[2006CB805902] ; Knowledge Innovation Funds from CAS, of China[KJCX3-SYW-S03]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000208585000001
出版者	TEXAS STATE UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6409
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	Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	He, Cheng. REMARK ON THE SPATIAL REGULARITY FOR THE NAVIER-STOKES EQUATIONS[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2008:8.
APA	He, Cheng.(2008).REMARK ON THE SPATIAL REGULARITY FOR THE NAVIER-STOKES EQUATIONS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,8.
MLA	He, Cheng."REMARK ON THE SPATIAL REGULARITY FOR THE NAVIER-STOKES EQUATIONS".ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2008):8.