Kai Zhang

most citedOn new surface-localized transmission eigenmodes

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2022★ 1 cited

Spectral patterns of elastic transmission eigenfunctions: boundary localisation, surface resonance and stress concentration

Yan Jiang, Hongyu Liu, Jiachuan Zhang +1

We present a comprehensive study of new discoveries on the spectral patterns of elastic transmission eigenfunctions, including boundary localisation, surface resonance, and stress…

math.AP2022

Boundary localization of transmission eigenfunctions in spherically stratified media

Yan Jiang, Hongyu Liu, Jiachuan Zhang +1

Consider the transmission eigenvalue problem for $u \in H^{1} (Ω)$ and $v \in H^{1} (Ω)$ associated with $(Ω; σ, n^{2})$ , where $Ω$ is a ball in $R^{N}$ , $N = 2, 3$ . If $σ$ and…

math.AP2021★ 2 cited

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…