3 papers
math.AP2018
Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions
Eemeli Blasten, Hongjie Li, Hongyu Liu +1
This paper reports some novel and intriguing discoveries about the localization and geometrization phenomenon in plasmon resonances and the intrinsic geometric structures of Neuman…
math.AP2018
On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution
Hongyu Liu, Xiaodong Liu, Xianchao Wang +1
We develop a novel wave imaging scheme for reconstructing the shape of an inhomogeneous scatterer and we consider the inverse acoustic obstacle scattering problem as a prototype mo…
math-ph2017
Asymptotic Analysis of the Narrow Escape Problem in Dendritic Spine Shaped Domain: Three Dimension
Hyundae Lee, Xiaofei Li, Yuliang Wang
This paper deals with the three-dimensional narrow escape problem in dendritic spine shaped domain, which is composed of a relatively big head and a thin neck. The narrow escape pr…