3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2024
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…