2 citations · 8 across the 11 of their papers we have counts for
15 papers · 1 filter
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…
Gradient estimates for electric fields with multi-scale inclusions in the quasi-static regime
Youjun Deng, Xiaoping Fang, Hongyu Liu
In this paper, we are concerned with the gradient estimate of the electric field due to two nearly touching dielectric inclusions, which is a central topic in the theory of composi…
On new surface-localized transmission eigenmodes
Youjun Deng, Yan Jiang, Hongyu Liu +1
Consider the transmission eigenvalue problem \[ (Δ+k^2\mathbf{n}^2) w=0,\ \ (Δ+k^2)v=0\ \ \mbox{in}\ \ Ω;\quad w=v,\ \ \partial_νw=\partial_νv=0\ \ \mbox{on} \ \partialΩ. \] It is…
On vanishing near corners of conductive transmission eigenfunctions
Youjun Deng, Chaohua Duan, Hongyu Liu
In this paper, we consider the transmission eigenvalue problem associated with a general conductive transmission condition and study the geometric structures of the transmission ei…
Sharp estimate of electric field from a conductive rod and application
Xiaoping Fang, Youjun Deng, Hongyu Liu
We are concerned with the quantitative study of the electric field perturbation due to the presence of an inhomogeneous conductive rod embedded in a homogenous conductivity. We sha…
Mathematical analysis of plasmon resonances for curved nanorods
Youjun Deng, Hongyu Liu, Guanghui Zheng
We investigate plasmon resonances for curved nanorods which present anisotropic geometries. We analyze quantitative properties of the plasmon resonance and its relationship to the…