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| Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Shear-thinning Flow | |
| 作者姓名： | Ya-zhou CHEN Hai-liang LI Xiao-ding SHI |
| 作者单位： | College of Mathematics and Physics;School of Mathematical Sciences |
| 基金项目： | 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■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 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 |
Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Shear-thinning Flow |
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| Ya-zhou CHEN,Hai-liang LI,Xiao-ding SHI.Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Shear-thinning Flow[J].Acta Mathematicae Applicatae Sinica,2021,37(2):348-363. | |
| Authors: | Chen Ya-zhou Li Hai-liang Shi Xiao-ding |
| Institution: | 1.College of Mathematics and Physics, Beijing University of Chemical Technology, Beijing, 100029, China ;2.School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China ; |
| Abstract: | Acta Mathematicae Applicatae Sinica, English Series - This paper is devoted to the partial regularity of suitable weak solutions to the system of the incompressible shear-thinning flow in a bounded... |
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