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

文献类型：期刊论文

作者Chemin, Jean-Yves3; Gallagher, Isabelle1,2; Zhang, Ping4,5,6
刊名COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
出版日期2019-07-17
页码19
关键词Anisotropic Littlewood-Paley Theory blow-up criteria incompressible Navier-Stokes equations
ISSN号0360-5302
DOI10.1080/03605302.2019.1641725
英文摘要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.
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
语种英语
WOS记录号WOS:000476300200001
出版者TAYLOR & FRANCIS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35211]  
专题数学所
通讯作者Zhang, Ping
作者单位1.Univ Paris Diderot, Sorbonne Paris Cite, UFR Math, Paris, France
2.PSL Res Univ, CNRS, Ecole Normale Super, DMA, Paris, France
3.Sorbonne Univ, UMR 7598, Lab Jacques Louis Lions, Paris 05, France
4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China
5.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
6.Chinese Acad Sci, Acad Math & Syst 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.

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来源：数学与系统科学研究院

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