报告人：李海刚教授

报告题目：Babuska Problem in Composite Materials and Suspension Problem in Stokes Flow

报告摘要：

(1) In a high-contrast elastic composite media, when inclusions are spaced closely, the stress always concentrates in between inclusions and causes damage initiation. This local concentration phenomenon essentially affects the global properties of the composite. For Babuska problem in linear elasticity, when the distance between inclusions tends to zero, we obtain the blow-up asymptotic expressions of the gradients of solutions to the Lame system with partially infinite coefficients in the narrow region.

(2) We then apply it to prove an extended Flaherty-Keller formula on the effective elastic property of a periodic composite with densely packed fibers, which is related to the Hashin-Shtrickmann bounds in structural optimization problems. Finally, we talk about some progress on the stress concentration problem between two adjacent rigid inclusions suspending in the Stokes flow.

报告时间：2022年11月5日，上午9:00-12:00

报告形式：腾讯会议；会议号：434-159-698

获取会议密码请发邮件至：xcwang@hit.edu.cn

报告人简介：李海刚，北京师范大学数学科学学院教授、博士生导师，国家青年高层次人才。主要从事材料科学中的偏微分方程理论研究，在复合材料中的Babuska问题、流-固模型的悬浮问题等方面取得一系列进展，已在Adv Math、ARMA、JMPA、JFA、AIHP-NL、SIMA、TAMS、CV&PDEs等国际权威数学杂志发表论文30余篇。2016年获得霍英东青年教师基金，2018年获得教育部自然科学二等奖。