Remarks on the Global Existence for Incompressible Navier-Stokes Equations

Sheng WANG ¹Zexian ZHANG ¹Yi ZHOU²

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作者信息

1. Shanghai Center for Mathematical Sciences,Fudan University,Shanghai 200433,China
2. School of Mathematics Science,Fudan University,Shanghai 200433,China
折叠

Abstract

In this article,the authors use the special structure of helicity for the three-dimensional 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.

Key words

Navier-Stokes euqations/Helicity/Global existence/Critical norm

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基金项目

National Natural Science Foundation of China(12171097)

Key Laboratory of Mathematics for Nonlinear Sciences(Fudan University)()

Ministry of Education of China,Shanghai Key Laboratory for Contemporary Applied Mathematics and Shanghai Science and Technol(21JC1400600)

出版年

2024

数学年刊B辑(英文版)

国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD

影响因子：0.129

ISSN：0252-9599

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