37 citations · 64 across the 38 of their papers we have counts for
40 papers · 1 filter
Logarithmic Stability for the Inverse Boundary Problem in Three-Dimensional Isotropic Elasticity
Huaian Diao, Umidjon Durdiev
We establish logarithmic stability for the simultaneous recovery of both Lamé parameters in three-dimensional static isotropic elasticity from the full Dirichlet-to-Neumann map. Th…
Single-Measurement Hölder Stability for a Spatial Coefficient in a Wave Equation with Principal Memory
Huaian Diao, Umidjon Durdiev
We study the recovery of a spatial coefficient in the principal memory flux of a three-dimensional wave equation with the prescribed exponential relaxation kernel , where…
Unique Determination of the Lamé Parameters in Three Dimensions
Huaian Diao, Umidjon Durdiev
We prove that the full Dirichlet-to-Neumann map for static isotropic elasticity uniquely determines both smooth Lamé parameters in a bounded smooth domain of \(\mathbb R^3\) under…
Interface-Shifted Minnaert Resonances
Huaian Diao, Long Li, Mourad Sini
We develop a unified asymptotic theory for Minnaert resonances generated by a small bubble placed near an interface of material discontinuity in an acoustic bac…
Robust shape reconstruction of elastic impenetrable scatterers via monotonicity spectral sampling methods
Mengjiao Bai, Huaian Diao, Weisheng Zhou
Reconstructing the location and shape of an unknown impenetrable scatterer from far-field measurements is a fundamental inverse problem in elastic scattering. In this paper, we pro…
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…
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…
Elastic Calderón Problem via Resonant Hard Inclusions: Linearisation of the N-D Map and Density Reconstruction
Huaian Diao, Mourad Sini, Ruixiang Tang
We study an elastic Calderon-type inverse problem: recover the mass density in a bounded domain from the Neumann-to-Dirichlet map associated with the…
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…
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…
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…
Inverse elastic obstacle scattering problems by monotonicity method
Mengjiao Bai, Huaian Diao, Weisheng Zhou
We consider the elastic wave scattering problem involving rigid obstacles. This work addresses the inverse problem of reconstructing the position and shape of such obstacles using…
Quasi-Minnaert Resonances in 2D Elastic Wave Scattering with Applications
Huaian Diao, Kaixin Lu, Ruixiang Tang +1
In our earlier work [13], we introduced a novel quasi-Minnaert resonance for three-dimensional elastic wave scattering in the sub-wavelength regime. Therein, we provided a rigorous…
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…
Non-radiating elastic sources in inhomogeneous elastic media at corners with applications
Huaian Diao, Yueran Geng, Ruixiang Tang
This paper is concerned with non-radiating elastic sources in inhomogeneous elastic media. We demonstrate that the value of non-radiating elastic sources must vanish at convex corn…
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…
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…
Stable determination of an impedance obstacle by a single far-field measurement
Huaian Diao, Hongyu Liu, Longyue Tao
We establish sharp stability estimates of logarithmic type in determining an impedance obstacle in . The obstacle is of general polygonal shape and the impedance para…