Navier–Stokes Regularity Criteria in Vishik Spaces,Applied Mathematics and Optimization

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Navier–Stokes Regularity Criteria in Vishik Spaces
Applied Mathematics and Optimization ( IF 1.6 ) Pub Date : 2021-02-18 , DOI: 10.1007/s00245-021-09757-9
Fan Wu

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).

中文翻译：

Vishik空间中的Navier–Stokes正则性准则

在本文中，我们仅根据涡度矢量或标量压力的两个分量来考虑Vishik空间中3D不可压缩Navier-Stokes方程的条件正则性。这些结果将被认为是对Zhang Chen（J Differ Equ 216（2）：470–481，2005），Fan-Jiang-Ni（J Differ Equ 244（11）：2963–2979，2008）给出的结果的改进。）和Kanamaru（J Evol Equ 1-17，2020年）。

更新日期：2021-02-19

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