Some remarks about the possible blow-up for the Navier-Stokes equations

doi:10.1080/03605302.2019.1641725

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	Some remarks about the possible blow-up for the Navier-Stokes equations
	Chemin, Jean-Yves 1; Gallagher, Isabelle 2,3; Zhang, Ping4,5,6
	2019-07-17
发表期刊	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0360-5302
页码	19
摘要	In this work, we investigate the question of preventing the three-dimensional, incompressible Navier-Stokes equations from developing singularities, by controlling one component of the velocity field only, in space-time scale invariant norms. In particular we prove that it is not possible for one component of the velocity field to tend to 0 too fast near blow up. We also introduce a space "almost" invariant under the action of the scaling such that if one component of the velocity field measured in this space remains small enough, then there is no blow up.
关键词	Anisotropic Littlewood-Paley Theory blow-up criteria incompressible Navier-Stokes equations
DOI	10.1080/03605302.2019.1641725
语种	英语
资助项目	NSF of China[11371347] ; NSF of China[11688101] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000476300200001
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35212
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Sorbonne Univ, UMR 7598, Lab Jacques Louis Lions, Paris 05, France 2.PSL Res Univ, CNRS, Ecole Normale Super, DMA, Paris, France 3.Univ Paris Diderot, Sorbonne Paris Cite, UFR Math, Paris, France 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 5.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China 6.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Chemin, Jean-Yves,Gallagher, Isabelle,Zhang, Ping. Some remarks about the possible blow-up for the Navier-Stokes equations[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2019:19.
APA	Chemin, Jean-Yves,Gallagher, Isabelle,&Zhang, Ping.(2019).Some remarks about the possible blow-up for the Navier-Stokes equations.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,19.
MLA	Chemin, Jean-Yves,et al."Some remarks about the possible blow-up for the Navier-Stokes equations".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2019):19.