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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…