Navier–Stokes Regularity Criteria in Vishik Spaces

被引：0
作者：
Fan Wu
机构：
[1] Hunan Normal University,Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics
来源：
Applied Mathematics & Optimization | 2021年 / 84卷
关键词：
Navier–Stokes equations; Regularity criteria; Vishik spaces; Besov spaces; 35Q30; 76D05;
D O I：
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学科分类号：
摘要：
In this paper, we consider the conditional regularity for the 3D incompressible Navier–Stokes equations in Vishik spaces in terms of only two components of the vorticity vector, or scalar pressure. These results will be regarded an improvement of the results given by Zhang–Chen (J Differ Equ 216(2):470–481, 2005), Fan–Jiang–Ni (J Differ Equ 244(11):2963–2979, 2008) and Kanamaru (J Evol Equ 1–17, 2020).
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页码：39 / 53
页数：14
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