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On the Partial Regularity of Suitable Weak Solutions in the Non-Newtonian Shear-thinning Case
发布时间:2021-05-21 08:51:44 访问次数: 字号:

报告地点:行健楼学术活动室665

邀请人:尹会成教授


报告摘要:We study partial regularity of suitable weak solutions to the incompressible non-Newtonian fluids in the shear-thinning case p<2. For the shear-thickening case p>2 this problem was previously considered in 2002 by Guo and Zhu. By partially appealing to some of their ideas, we show that in the p<2 case the singular points are concentrated on a closed set whose 1 dimensional Hausdorff measure is zero. This is a joint work with Professor Hugo Beigao da Veiga.