104 citations · 1.2k across the 127 of their papers we have counts for
12 papers · 1 filter
On an inverse boundary problem for mean field games
Hongyu Liu, Shen Zhang
In this paper, we propose and study an inverse boundary problem for the mean field games (MFGs) governed by the first-order master equation in a bounded domain. We establish the un…
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…
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…
Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications
Huaian Diao, Hongjie Li, Hongyu Liu +1
We are concerned with a coupled-physics spectral problem arising in the coupled propagation of acoustic and elastic waves, which is referred to as the acoustic-elastic transmission…
Resonant modal approximation of time-domain elastic scattering from nano-bubbles in elastic materials
Bochao Chen, Yixian Gao, Yong Li +1
This paper is devoted to establishing the resonant modal expansion of the low-frequency part of the scattered field for acoustic bubbles embedded in elastic materials in the time d…
Determining anomalies in a semilinear elliptic equation by a minimal number of measurements
Huaian Diao, Xiaoxu Fei, Hongyu Liu +1
We are concerned with the inverse boundary problem of determining anomalies associated with a semilinear elliptic equation of the form , where $a(\mathbf x,…
Local geometric properties of conductive transmission eigenfunctions and applications
Huaian Diao, Xiaoxu Fei, Hongyu Liu
The purpose of the paper is twofold. First, we show that partial-data transmission eigenfunctions associated with a conductive boundary condition vanish locally around a polyhedral…
A novel quantitative inverse scattering scheme using interior resonant modes
Youzi He, Hongyu Liu, Xianchao Wang
This paper is devoted to a novel quantitative imaging scheme of identifying impenetrable obstacles in time-harmonic acoustic scattering from the associated far-field data. The prop…
Modal approximation for time-domain elastic scattering from metamaterial quasiparticles
Bochao Chen, Yixian Gao, Hongyu Liu
This paper aims at quantitatively understanding the elastic wave scattering due to negative metamaterial structures under wide-band signals in the time domain. Specifically, we est…
Visibility, invisibility and unique recovery of inverse electromagnetic problems with conical singularities
Huaian Diao, Xiaoxu Fei, Hongyu Liu +1
In this paper, we study time-harmonic electromagnetic scattering in two scenarios, where the anomalous scatterer is either a pair of electromagnetic sources or an inhomogeneous med…
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation
Hongjie Li, Hongyu Liu, Jun Zou
Given the flexibility of choosing negative elastic parameters, we construct material structures that can induce two resonance phenomena, referred to as the elastodynamical resonanc…
Boundary localization of transmission eigenfunctions in spherically stratified media
Yan Jiang, Hongyu Liu, Jiachuan Zhang +1
Consider the transmission eigenvalue problem for and associated with , where is a ball in , . If and…