2 citations · 3 across the 18 of their papers we have counts for
21 papers
Inverse problems for nonlinear Kirchhoff plate equations with multiple unknown parameters
Song-Ren Fu, Hongyu Liu, Yongyi Yu +1
This paper provides a comprehensive treatment of inverse boundary value problems for (nonlinear) Kirchhoff plate equations under diverse general settings. We begin by establishing…
Localized gradient enhancement near anisotropic electromagnetic scatterers
Weisheng Zhou, Huaian Diao, Hongyu Liu
This work investigates time-harmonic electromagnetic scattering governed by the Maxwell system, where bounded anisotropic scatterers are embedded in a homogeneous electromagnetic b…
Formation of quasi-singularities of shock and implosion type for compressible Euler flows
Xieling Fan, Hongyu Liu
This paper investigates a novel quasi-singularity formation phenomenon in the isentropic compressible Euler equations in three dimensions. For any prescribed finite set of points $…
Spectral structures of elastic-electromagnetic transmission eigenvalue problems
Huaian Diao, Xinyu Ding, Yueran Geng +1
The time-harmonic elastic-electromagnetic interior transmission eigenvalue problem (EEITEP) arises when an elastic body becomes invisible to an incident electromagnetic wave. This…
Stably Determining a generalised Impedance Obstacle from a Single Far-Field Pattern
Huaian Diao, Hongyu Liu, Longyue Tao
Inverse scattering focuses on recovering unknown scatterers from wave measurements. A fundamental challenge is determining whether an inverse obstacle problem can be resolved from…
Construction of Solutions with Extraordinary Gradient Amplification and Localization for Schrödinger Equations
Huaian Diao, Xieling Fan, Hongyu Liu
This paper constructs solutions to linear and nonlinear Schrödinger-type equations in two and three spatial dimensions that exhibit prescribed, extraordinary gradient amplification…
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…
Dislocations in a multi-layered elastic solid with applications to fault and interface identifications
Huaian Diao, Hongyu Liu, Qingle Meng
This paper investigates an elastic dislocation problem within a bounded and multi-layered solid governed by the Lamé system. We address the simultaneous reconstruction of the fault…
On quasi-Minnaert resonances in elasticity and their applications to stress concentrations
Huaian Diao, Ruixiang Tang, Hongyu Liu
This paper unveils and investigates a novel quasi-Minnaert resonance for an elastic hard inclusion embedded in a soft homogeneous medium in the sub-wavelength regime. The quasi-Min…
On a coupled-physics transmission eigenvalue problem and its spectral properties with applications
Huaian Diao, Hongyu Liu, Qingle Meng +1
In this paper, we investigate a transmission eigenvalue problem that couples the principles of acoustics and elasticity. This problem naturally arises when studying fluid-solid int…
On a novel UCP result and its application to inverse conductive scattering
Huaian Diao, Xiaoxu Fei, Hongyu Liu
In this paper, we derive a novel Unique Continuation Principle (UCP) for a system of second-order elliptic PDEs system and apply it to investigate inverse problems in conductive sc…
Effective medium theory for embedded obstacles in electromagnetic scattering with applications
Huaian Diao, Hongyu Liu, Qingle Meng +1
This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomo…
Unique determination by a single far-field measurement for an inverse elastic problem
Huaian Diao, Ruixiang Tang, Hongyu Liu +1
This paper is concerned with the unique identification of the shape of a scatterer through a single far-field pattern in an inverse elastic medium scattering problem with a general…
A novel Newton method for inverse elastic scattering problems
Yan Chang, Yukun Guo, Hongyu Liu +1
This work is concerned with an inverse elastic scattering problem of identifying the unknown rigid obstacle embedded in an open space filled with a homogeneous and isotropic elasti…
Dislocations with corners in an elastic body with applications to fault detection
Huaian Diao, Hongyu Liu, Qingle Meng
This paper focuses on an elastic dislocation problem that is motivated by applications in the geophysical and seismological communities. In our model, the displacement satisfies th…
On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems
Huaian Diao, Hongyu Liu, Li Wang
Consider the Lamé operator that arises in the theory of linear elasticity. This paper studies the…