47 citations · 67 across the 23 of their papers we have counts for
9 papers · 1 filter
A mathematical theory of microscale hydrodynamic cloaking and shielding by electro-osmosis
Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng
In this paper, we develop a general mathematical framework for perfect and approximate hydrodynamic cloaking and shielding of electro-osmotic flow, which is governed by a coupled P…
Stable determination of an impedance obstacle by a single far-field measurement
Huaian Diao, Hongyu Liu, Longyue Tao
We establish sharp stability estimates of logarithmic type in determining an impedance obstacle in . The obstacle is of general polygonal shape and the impedance para…
On an inverse problem for the plate equation with passive measurement
Yixian Gao, Hongyu Liu, Yang Liu
This paper focuses on an inverse problem associated with the plate equation which is derived from models in fluid mechanics and elasticity. We establish the unique identifying resu…
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,…
Plasmon resonances of nanorods in transverse electromagnetic scattering
Youjun Deng, Hongyu Liu, Guang-hui Zheng
Plasmon resonance is the resonant oscillation of conduction electrons at the interface between negative and positive permittivity material stimulated by incident light, which forms…
On electromagnetic scattering from a penetrable corner
Hongyu Liu, Jingni Xiao
This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of…