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

• 作者: Ya-zhou CHEN Hai-liang LI Xiao-ding SHI
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 348-363
• 页数: 16页
• 语种: 英文

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 (C) 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.