Remarks on the Global Existence for Incompressible Navier-Stokes Equations

被引：0

作者：

Wang, Sheng ^{[1
]}

Zhang, Zexian ^{[1
]}

Zhou, Yi ^{[2
]}

机构：

[1] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2024年 / 45卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes euqations; Helicity; Global existence; Critical norm; POSEDNESS;

D O I：

10.1007/s11401-024-0027-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：529 / 536

页数：8

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