非线性分析研讨班:Asymptotic of the Gradient of Solutions for the Conductivity Problem in any dimensions

中科院数学与系统科学研究院

数学研究所

学术报告

非线性分析研讨班

报告人：马琳洁（数学所博士后）

题  目：Asymptotic of the Gradient of Solutions for the Conductivity Problem in any dimensions

时  间：2023.02.10（星期五）10:00-11:00

地  点：数学院南楼802

摘  要：In high-contrast composite materials, the electric (or stress)field may blow up in the narrow region between adjacent inclusions. The gradient of solutions depends on two parameters: the conductivity k and the distance between inclusions . By the domain decomposition method, we establish the asymptotic of the stress for conductors with arbitrary shape and in all dimensions, when  is sufficiently small and k is sufficiently large. This result extends the partial results of Dong and Li(2019) Arch. Ration. Mech. Anal. , where the disk inclusion casein 2D was considered.