报告人：董弘桀 教授 美国布朗大学

时间：5月23日下午4：30 - 6：00

地点：数学楼2-3会议室

摘要：

Elliptic equations arising from composite materials have been a focal point of research for many years, garnering significant attention in the literature.

In this talk, I will first provide an overview of both classical and a new breakthrough related to the linear perfect and insulated conductivity problems in composite materials. Then I will discuss recent results when the current-electric field relation is a power law. This physical model finds application in a variety of materials, including dielectrics, plastic molding, plasticity phenomena, etc.

Our approach to these problems involves leveraging various tools from elliptic theory, with a particular emphasis on mean oscillation estimates.

This research represents a collaborative effort with Zhuolun Yang and Hanye Zhu from Brown University.

报告人简介：

董弘桀，美国布朗大学教授，博士生导师，师从著名数学家Nicolai V. Krylov。目前从事偏微分方程、概率论等领域的研究,取得了一系列非常出色的成果，在Comm. Pure Appl. Math.，Arch. Rational Mech. Anal.，Comm. Math. Phys.，Adv. Math.，Trans. Amer. Math. Soc.，Int. Math. Res. Not.，J. Funct. Anal.，Comm. Partial Differential Equations，SIAM J. Math. Anal.，Calc. Var. Partial Differential Equations等国际著名学术期刊上发表论文142篇，并担任SIAM J. Math. Anal., J. Differential Equations等期刊编委。