The analysis of resonant frequencies and blow-up estimates of close-to-touching subwavelength resonators in the two-dimensional Helmholtz system
报告人：李宏杰
报告地点：数学与统计学院二楼会议室
报告时间：2025年11月22日（星期六）15:30-16:30
邀请人：陈博超
报告摘要：
In this talk, we investigate wave scattering by a pair of closely spaced inclusions embedded in a homogeneous medium, characterized by a high contrast physical parameters. The system is modeled by the two-dimensional Helmholtz equation. We show that this configuration exhibits two sub-wavelength resonant modes, whose frequencies display distinct leading-order asymptotic behaviors. These findings differ significantly from those in the three-dimensional Helmholtz setting. Furthermore, we provide a quantitative analysis of the gradient blow-up rates for the wave field localized between the two resonators.
主讲人简介：
Dr. Hongjie Li currently serves as an Assistant Professor at Tsinghua University. Before joining Tsinghua, he held the position of Research Assistant Professor at The Chinese University of Hong Kong. He earned his Ph.D. in Applied Mathematics from the Hong Kong Baptist University in 2019. Dr. Li's research spans various domains, including inverse problems, partial differential equations, mathematical materials science, asymptotic and spectral analysis, finite element methods, numerical analysis, and scientific computing.
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