activity
20232026
collaborators

6 papers

math.AP2026

Quantitative symmetry-breaking and nonlinear harmonic generation in plasmonics

Hongyu Liu, Zhi-Qiang Miao, Jingfeng Yao +2

We develop a quantitative mathematical theory that offers new perspectives on nonlinear harmonic generation in plasmonic structures arising from symmetry breaking. Focusing on seco…

physics.flu-dyn2025

Microscale Hydrodynamic Cloaking via Geometry Design in a Depth-Varying Hele-Shaw Cell

Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng

We theoretically and numerically demonstrate that hydrodynamic cloaking can be achieved by simply adjusting the geometric depth of a region surrounding an object in microscale flow…

math.AP2025

Hybridization theory for plasmon resonance in metallic nanostructures

Qi Lei, Hongyu Liu, Zhi-Qiang Miao +1

In this paper, we investigate the hybridization theory of plasmon resonance in metallic nanostructures, which has been validated by the authors in [31] through a series of experime…

math.AP2024

Phaseless uniqueness for determining internal source in photo-thermal effect

Li-Ping Deng, Hongyu Liu, Zhi-Qiang Miao +1

The paper investigates an inverse problem of recovering the internal source from external temperature measurements in photo-thermal effect. The photo-thermal effect actually involv…

math.AP2024

Simultaneously Cloaking Electric and Hydrodynamic Fields via Electro-osmosis

Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng

In this paper, we develop a general mathematical framework for the electro-osmosis problem to design simultaneous microscale electric and hydrodynamic cloaking in a Hele-Shaw confi…

math.AP2023

Enhanced Microscale Hydrodynamic Near-cloaking using Electro-osmosis

Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng

In this paper, we develop a general mathematical framework for enhanced hydrodynamic near-cloaking of electro-osmotic flow for more complex shapes, which is obtained by simultaneou…