16 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 for . For any prescribed finite se…
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…
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 amplificatio…
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…