104 citations · 1.2k across the 127 of their papers we have counts for
16 papers · 1 filter
On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications
Huaian Diao, Xinlin Cao, Hongyu Liu
This paper is concerned with the intrinsic geometric structures of conductive transmission eigenfunctions. The geometric properties of interior transmission eigenfunctions were fir…
Determining a random Schrödinger equation with unknown source and potential
Jingzhi Li, Hongyu Liu, Shiqi Ma
We are concerned with the direct and inverse scattering problems associated with a time-harmonic random Schrödinger equation with unknown source and potential terms. The well-posed…
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…
An inverse scattering approach for geometric body generation: a machine learning perspective
Jinhong Li, Hongyu Liu, Wing-Yan Tsui +1
In this paper, we are concerned with the 2D and 3D geometric shape generation by prescribing a set of characteristic values of a specific geometric body. One of the major motivatio…
Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective
Junjiang Lai, Hongyu Liu, Jingni Xiao +1
Elastic scattering governed by the Lame system associated with the third-type or fourth-type boundary condition is considered. It was shown in [8] by two of the authors that under…
Scattering by curvatures, radiationless sources, transmission eigenfunctions and inverse scattering problems
Emilia Blåsten, Hongyu Liu
We consider several intriguingly connected topics in the theory of wave propagation: geometrical characterizations of radiationless sources, non-radiating incident waves, interior…