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.
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