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 

机构地区：[1]College of Mathematics and Physics,Beiing University of Chemical Technology,Bejing 100029,China [2]School of Mathematical Sciences,Capital Normal University,Bejing 100048,China

出　　处：《Acta Mathematicae Applicatae Sinica》2021年第2期348-363,共16页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11901025,11671027,11931010,11871047 and 11671384);by the key research project of Academy for Multidisciplinary Studies,Capital Normal University;by the Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds(No.007/20530290068)。

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 domainΩ■R^(n),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 3 D model,it is proved that the singular points are concentrated on a closed set whose 1 dimensional Hausdorff measure is zero.

关 键 词：partial regularity suitable weak solutions shear-thinning flow 

分 类 号：O373[理学—流体力学]