Time:14:00-15:30, Monday, June 15 2026
Venue:E14-301
Host: Zhongwei Shen, ITS
Speaker:Hongjie Dong, Brown University
Title:Gradient estimates for elliptic equations from composite materials
Abstract:I will discuss some recent work on a conductivity model for composite materials with imperfectly bonded interfaces, in which the potential function is allowed to be discontinuous across the interfaces. The governing equation is an elliptic equation with Robin boundary conditions posed in a narrow domain. Both the perfectly conducting case, where the inclusion conductivities are infinite, and the finitely conducting case are considered.