4 papers
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…
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…
Determining a magnetic Schrödinger equation by a single far-field measurement
Chaohua Duan, Zhen Xue
This paper investigates the inverse scattering problem for the magnetic Schrödinger equation. We first establish the well-posedness of the direct problem through a variational appr…
On vanishing near corners of conductive transmission eigenfunctions
Youjun Deng, Chaohua Duan, Hongyu Liu
In this paper, we consider the transmission eigenvalue problem associated with a general conductive transmission condition and study the geometric structures of the transmission ei…