104 citations · 1.2k across the 127 of their papers we have counts for
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Hölder Stability and Uniqueness for The Mean Field Games System via Carleman Estimates
Michael V. Klibanov, Jingzhi Li, Hongyu Liu
We are concerned with the mathematical study of the Mean Field Games system (MFGS). In the conventional setup, the MFGS is a system of two coupled nonlinear parabolic PDEs of the s…
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…
Locating multiple magnetized anomalies by geomagnetic monitoring
Rongliang Chen, Youjun Deng, Yang Gao +2
The presence of magnetized anomalies in the shell of the Earth interrupts its geomagnetic field. We consider the inverse problem of identifying the anomalies by monitoring the vari…
Elastostatics with multi-layer metamaterial structures and an algebraic framework for polariton resonances
Youjun Deng, Lingzheng Kong, Hongyu Liu +1
Multi-layer structures are ubiquitous in constructing metamaterial devices to realise various frontier applications including super-resolution imaging and invisibility cloaking. In…
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…