Abstract:
We consider the field concentration phenomenon in high-contrast composites, a central topic in composite material research. The governing equation is given by a divergence form elliptic equation.
In this talk, I will first review recent breakthroughs regarding the insulated problem with perfect bonding. Then I will discuss our work on a model with imperfect bonding, where the potential function is allowed to be discontinuous across the interfacial boundaries. This model holds significant practical relevance, as it approximates the membrane structure in biological systems.
Based on joint work with Zhuolun Yang (Brown University) and Hanye Zhu (Duke University).
Biography:
Hongjie Dong is visiting NYU Shanghai for the fall term of 2024. He is a professor of the Division of Applied Mathematics at Brown University. He works on partial differential equations, fluid dynamics, and more recently kinetic theory. He was a Dickson Instructor at the University of Chicago and a member at the Institute for Advanced Study in Princeton.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.