Date/Time
Date(s) - 05/04/2024
1:30 pm - 2:30 pm

Date/Time:  April 5, 2024 (1:30PM – 2:30PM)

Location:  HH – 410 (and via Zoom)

Speaker: Dr. Yang (Brown University)

Title: Recent progress on gradient characterization for conductivity problems from high-contrast composite materials

Abstract: In this talk, I will describe the conductivity problem from composite materials. The electric field, represented by the gradient of solutions, may blow up as the distance between inclusions approaches to 0. When the current-electric field relation obeys the Ohm’s law, we obtained an optimal gradient estimate of solutions in terms of the distance between two insulators, which settled down a major open problem in this area. I will also present our recent results on both perfect and insulated conductivity problems when the current-electric field relation is a power law. The talk is based on joint work with Hongjie Dong (Brown), Yanyan Li (Rutgers), and Hanye Zhu (Brown).

Zoom Information:

Meeting ID: 938 2021 0528

Passcode: 397088