On partial regularity of suitable weak solutions to the stationary fractional Navier–Stokes equations in dimension four and five

被引：0
作者：
Xiao Li Guo
Yue Yang Men
机构：
[1] Zhengzhou University of Light Industry,Department of Mathematics and Information Science
[2] Institute of Applied Physics and Computational Mathematics,undefined
来源：
Acta Mathematica Sinica, English Series | 2017年 / 33卷
关键词：
Stationary Navier–Stokes equations; suitable weak solutions; partial regularity; 76D03; 76D05; 35B30; 35Q35;
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学科分类号：
摘要：
In this paper, we investigate the partial regularity of suitable weak solutions to the multi-dimensional stationary Navier–Stokes equations with fractional power of the Laplacian (−Δ)α (n/6 ≤ α < 1 and α ≠ 1/2). It is shown that the n + 2 − 6α (3 ≤ n ≤ 5) dimensional Hausdorff measure of the set of the possible singular points of suitable weak solutions to the system is zero, which extends a recent result of Tang and Yu [19] to four and five dimension. Moreover, the pressure in ε-regularity criteria is an improvement of corresponding results in [1, 13, 18, 20].
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页码：1632 / 1646
页数：14
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