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math.AP2025
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…
math.AP2025
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…
math.AP2025
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…