collaborators

5 papers

math.NA2025

Inverse Random Source Problem for the Helmholtz Equation from Statistical Phaseless Data

Qiao-Ping Chen, Hongyu Liu, Zejun Sun +2

This paper investigates the problem of reconstructing a random source from statistical phaseless data for the two-dimensional Helmholtz equation. The major challenge of this proble…

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.NA2024

Determination and reconstruction of a semilinear term from point measurements

Yavar Kian, Hongyu Liu, Li-Li Wang +1

In this article we study the inverse problem of determining a semilinear term appearing in an elliptic equation from boundary measurements. Our main objective is to develop flexibl…

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…