2 citations · 2 across the 6 of their papers we have counts for
9 papers
Determining nonlinear balance laws in product-type domains by a single local passive boundary observation
Chaohua Duan, Hongyu Liu, Qingle Meng +1
This paper introduces an operator-theoretic paradigm for solving inverse problems in nonlinear balance laws, shifting the focus from identifying specific functional forms to recove…
Stress concentration via quasi-Minnaert resonance in bubble-elastic structures and applications
Ruixiang Tang, Huaian Diao, Hongyu Liu +1
Stress concentration in bubble-elastic scattering scenarios has significant applications in engineering blasting and medical treatments. This study provides a comprehensive mathema…
A New Quasi-Singularity Formation Mechanism for Second-order Hyperbolic Equations
Huaian Diao, Xieling Fan, Hongyu Liu
This paper investigates a novel mechanism for quasi-singularity formation in both linear and nonlinear hyperbolic wave equations in two and three dimensions. We prove that over any…
Quasi-Minnaert Resonances in High-contrast acoustic Structures and Applications to Invisibility Cloaking
Weisheng Zhou, Huaian Diao, Hongyu Liu
This paper investigates a novel quasi-Minnaert resonance phenomenon in acoustic wave propagation through high-contrast medium in both two and three dimensions, occurring in the sub…
Geometrical characterizations of radiating and non-radiating elastic sources and mediums with applications
Huaian Diao, Xiaoxu Fei, Hongyu Liu
In this paper, we investigate two types of time-harmonic elastic wave scattering problems. The first one involves the scattered wave generated by an active elastic source with comp…
Pattern formations of coupled PDEs with transparent boundary conditions in product-type ends and applications
Huaian Diao, Hongyu Liu, Qingle Meng +1
This paper studies pattern formations in coupled elliptic PDE systems governed by transparent boundary conditions. Such systems unify diverse areas, including inverse boundary prob…