Analysis of Subwavelength Resonances in High Contrast Elastic Media
数学专题报告
报告题目(Title):Analysis of Subwavelength Resonances in High Contrast Elastic Media
报告人(Speaker): Professor Yixian Gao (Northeast Normal University )
地点(Place): 后主楼 1225
时间(Time): 2025年 1 月 14 日(周二)15:30-16:30
邀请人(Inviter):李海刚
报告摘要
In this talk, we are devoted to the mathematical study of the wave scattering by a hard elastic obstacle embedded in a soft elastic body in three-dimensional space.We characterize subwavelength resonances by the fact that the determinant of a matrix vanishes, and present the asymptotic expansions of the subwavelength resonant frequencies in the low-frequency region . We give the representation of the scattered field in the interior domain, and establish the transversal and longitudinal far-field patterns for the scattered field the exterior domain.