5 papers
Determining evolutionary equations from a single passive boundary observation
Lu Chen, Yan Jiang, Hongyu Liu +2
We study inverse boundary problems for evolutionary PDEs using only a single passive boundary observation, where data from an unknown internal source propagate through an unknown m…
Spectral properties of surface-localized transmission eigenmodes and applications to inverse scattering problems
Yan Jiang, Hongyu Liu, Kai Zhang +1
This paper investigates a distinctive spectral pattern exhibited by transmission eigenfunctions in wave scattering theory. Building upon the discovery in [7, 8] that these eigenfun…
Sub-wavelength resonances in two-dimensional multi-layer elastic media
Yan Jiang, Hongyu Liu, Fanbo Sun +1
In this paper, we focus on the sub-wavelength resonances in two-dimensional elastic media characterized by high contrasts in both Lamé parameters and density. Our contributions ar…
A Wave Front Tracking Scheme for Flux Reconstruction in Hyperbolic Conservation Laws
Chaohua Duan, Yan Jiang, Hongyu Liu +1
This paper introduces a novel wave front tracking framework for reconstructing unknown flux functions in hyperbolic conservation laws, extending beyond the well-studied…
Inverse problems for a quasilinear hyperbolic equation with multiple unknowns
Yan Jiang, Hongyu Liu, Tianhao Ni +1
We propose and study several inverse boundary problems associated with a quasilinear hyperbolic equation of the form on a compact…