3 papers
math.SP2026
Essential spectra and eigenvalue asymptotics of Fourier blocks of the elastic Neumann-Poincaré operator on tori
Wanjing Tang
We study the spectral behavior of the Fourier blocks of the elastic Neumann-Poincaré operator on a torus. For the full elastic Neumann-Poincaré operator, it is known that eigenvalu…
math-ph2025
On surface polariton resonance and its curvature concentration effects from 3D elastic nanorods
Youjun Deng, Hongyu Liu, Wanjing Tang +1
This paper investigates surface polariton resonance (SPR) in three-dimensional elastic metamaterials with nanorod geometry. The primary motivation is to surpass the physical limita…
math.AP2022
Optimal estimate of field concentration between multiscale nearly-touching inclusions for 3-D Helmholtz system
Youjun Deng, Yueguang Hu, Hongyu Liu +1
We are concerned with the field concentration between two nearly-touching inclusions with high-contrast material parameters, which is a central topic in the theory of composite mat…