6 papers · 1 filter
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…
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…
Dislocations with corners in an elastic body with applications to fault detection
Huaian Diao, Hongyu Liu, Qingle Meng
This paper focuses on an elastic dislocation problem that is motivated by applications in the geophysical and seismological communities. In our model, the displacement satisfies th…
Dislocations in a multi-layered elastic solid with applications to fault and interface identifications
Huaian Diao, Hongyu Liu, Qingle Meng
This paper investigates an elastic dislocation problem within a bounded and multi-layered solid governed by the Lamé system. We address the simultaneous reconstruction of the faul…
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…
Effective medium theory for embedded obstacles in electromagnetic scattering with applications
Huaian Diao, Hongyu Liu, Qingle Meng +1
This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomo…