Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations  

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作  者:Siyu Liang Ping Zhang Rongchan Zhu 

机构地区:[1]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,Chinn [2]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,Chinn [3]Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China [4]Department of Mathematics,University of Bielefeld,D-33615 Bielefeld,Germany.

出  处:《Communications in Mathematical Research》2020年第1期31-50,共20页数学研究通讯(英文版)

基  金:S.Liang is grateful to the financial supports of the DFG through IRTG 2235.R Zhang is partially supported by NSF of China under Grants 11371347 and 11688101,and innovation grant from National Center for Mathematics and Interdisciplinary Sciences.。

摘  要:The goal of this article is to provide a lower bound for the lifespan of smooth solutions to 3-D anisotropic incompressible Navier-Stokes system,which in particular extends a similar type of result for the classical 3-D incompressible Navier-S tokes system.

关 键 词:ANISOTROPIC NAVIER-STOKES system LITTLEWOOD-PALEY theory LIFESPAN 

分 类 号:O175.29[理学—数学]

 

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