Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Shear-thinning Flow

被引：0
作者：
Ya-zhou Chen
Hai-liang Li
Xiao-ding Shi
机构：
[1] Beijing University of Chemical Technology,College of Mathematics and Physics
[2] Capital Normal University,School of Mathematical Sciences
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2021年 / 37卷
关键词：
partial regularity; suitable weak solutions; shear-thinning flow; 35Q35; 35B40; 76N10;
D O I：
暂无
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学科分类号：
摘要：
This paper is devoted to the partial regularity of suitable weak solutions to the system of the incompressible shear-thinning flow in a bounded domain Ω ⊂ ℝn, n ≥ 2. It is proved that there exists a suitable weak solution of the shear-thinning fluid in the n-D smooth bounded domain (for n ≥ 2). For 3D model, it is proved that the singular points are concentrated on a closed set whose 1 dimensional Hausdorff measure is zero.
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页码：348 / 363
页数：15
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