Gradient estimates for the insulated conductivity problem

Yanyan Li (Rutgers)

02-Nov-2020, 14:00-15:00 (3 years ago)

Abstract: In this talk, we discuss the insulated conductivity problem with multiple inclusions embedded in a bounded domain in n-dimensional Euclidean space. The gradient of a solution may blow up as two inclusions approach each other. The optimal blow up rate was known in dimension n=2. It was not known whether the established upper bound of the blow up rates in higher dimensions were optimal. We answer this question by improving the previously known upper bound of the blow up rates in dimension n>2. This is a joint work with Zhuolun Yang.

mathematical physicsanalysis of PDEsclassical analysis and ODEsdynamical systemsnumerical analysis

Audience: researchers in the topic


"Partial Differential Equations and Applications" Webinar

Organizers: Habib Ammari, Hyeonbae Kang, Lin Lin, Sid Mishra, Eduardo Teixeira, Zhi-Qiang Wang, Zhitao Zhang, Stanley Snelson
Curator: Jan Holland*
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