Remarks on the Global Existence for Incompressible Navier-Stokes Equations

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外文摘要：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.

外文关键词：

Navier-Stokes euqationsHelicityGlobal existenceCritical norm

作者：

Sheng WANG、Zexian ZHANG、Yi ZHOU

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作者单位：

Shanghai Center for Mathematical Sciences,Fudan University,Shanghai 200433,China

School of Mathematics Science,Fudan University,Shanghai 200433,China

基金：

National Natural Science Foundation of ChinaKey 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

项目编号：

1217109721JC1400600

出版年：

2024

DOI：

10.1007/s11401-024-0027-3

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)

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影响因子：0.129

ISSN：0252-9599

年,卷(期)：2024.45(4)