A remark on the regularity criterion for the 3D Navier-Stokes equations in terms of two vorticity components

被引：0

作者：

Chol-Jun, O. ^{[1
]}

机构：

[1] State Acad Sci, Inst Math, Pyongyang, North Korea

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 71卷

关键词：

Navier-Stokes equations; Regularity criterion; Vorticity; Besov spaces; BLOW-UP CRITERION; BESOV-SPACES; WEAK SOLUTIONS; EULER;

D O I：

10.1016/j.nonrwa.2023.103840

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a new regularity criterion for the 3D Navier-Stokes equations in terms of only two vorticity components. By making use of a logarithmic Sobolev inequality in the Besov spaces with negative indices and well known commutator estimate, we prove that a unique local strong solution does not blow-up at time T if two components of vorticity belong to L2(0, T;B-1 & INFIN;,& INFIN;). This result is the further extension of the previous works by Guo et al. (2018) and by O (2021), and becomes the improvement of the work by Gala (2011). & COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：7

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