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Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Shear-thinning Flow
Acta Mathematicae Applicatae Sinica, English Series ( IF 0.8 ) Pub Date : 2021-04-24 , DOI: 10.1007/s10255-021-1011-2
Ya-zhou Chen , Hai-liang Li , Xiao-ding Shi

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.



中文翻译:

不可压缩剪切稀化流系统的适当弱解的局部正则性

本文专门合适的弱解的局部规律性不可压缩剪切稀化流动的系统中的有界区域Ω⊂ℝ ÑÑ ≥2证明了存在的剪切稀化的合适的弱溶液在流体ñ -D光滑(有界域ñ ≥2)。对于3D模型,证明了奇异点集中在1维Hausdorff测度为零的闭合集合上。

更新日期:2021-04-24
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