Elliptic PDE Theory in Composite Materials
报告专家:李海刚 (北京师范大学)
报告时间:5月27/29日 9:30-11:30
报告地点:线下:国家天元数学西南中心516:线上:腾讯会议363-1660-4487 密码:1304
报告摘要:
This mini-course introduces fundamental methods for studying elliptic partial differential equations arising from field concentration phenomena in composite materials. The narrow region between inclusions presents a fundamental challenge to both theoretical analysis and numerical simulations. Such singular behavior has recently been characterized through gradient estimates and higher-order derivative estimates. Topics include, but are not limited to, the maximum principle, energy method, iteration technique, Harnack inequality, and polynomial approximation.
专家简介:
李海刚,北京师范大学数学科学学院教授、博士生导师,国家级人才计划青年项目入选者. 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、亚波长共振、流-固耦合问题等方面取得一系列有国际影响的重要成果. 在Math. Ann.、Adv. Math.、Arch. Ration. Mech. Anal.、J. Math. Pures Appl.、Trans. Amer. Math. Soc.、J. Funct. Anal.等国际权威数学杂志发表论文50余篇,解决了偏微分方程理论与数值计算中的若干难题,荣获教育部霍英东基金、教育部自然科学二等奖、北京市自然科学二等奖(第一完成人)等省部级奖励。
邀请人:连增
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