3 papers
math.PR2025
Inversions of stochastic processes from ergodic measures of Nonlinear SDEs
Hongyu Liu, Zhihui Liu
We introduce and analyze a novel class of inverse problems for stochastic dynamics: Given the ergodic invariant measure of a stochastic process governed by a nonlinear stochastic o…
math.AP2024
On asymptotic behaviors of acoustic waves due to high-contrast material inclusions
Yueguang Hu, Hongyu Liu
This paper investigates the asymptotic behaviors of time-harmonic acoustic waves generated by an incident wave illuminating inhomogeneous medium inclusions with high-contrast mater…
math.NA2024
Generating customized field concentration via virtual surface transmission resonance
Yueguang Hu, Hongyu Liu, Xianchao Wang +1
In this paper, we develop a mathematical framework for generating strong customized field concentration locally around the inhomogeneous medium inclusion via surface transmission r…