Remarks on the Global Existence for Incompressible Navier-Stokes Equations  

作　　者：Sheng WANG Zexian ZHANG Yi ZHOU 

机构地区：[1]Shanghai Center for Mathematical Sciences,Fudan University,Shanghai 200433,China [2]School of Mathematics Science,Fudan University,Shanghai 200433,China

出　　处：《Chinese Annals of Mathematics,Series B》2024年第4期529-536,共8页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.12171097);the Key Laboratory of Mathematics for Nonlinear Sciences(Fudan University);the Ministry of Education of China;Shanghai Key Laboratory for Contemporary Applied Mathematics and Shanghai Science and Technology Program(No.21JC1400600)。

摘　　要：In this article,the authors use the special structure of helicity for the threedimensional incompressible Navier-Stokes equations to construct a family of finite energy smooth solutions to the Navier-Stokes equations which critical norms can be arbitrarily large.

关 键 词：Navier-Stokes euqations HELICITY Global existence Critical norm 

分 类 号：O175.2[理学—数学]