5 papers
Recovering the spatiotemporally dependent diffusion and advection coefficients in a pathway-based Keller--Segel model
Yu'an Li, Lingyun Qiu, Min Tang +3
We investigate an inverse coefficient problem for an augmented Keller--Segel model arising in the description of phototactic and chemotactic population dynamics. The spatiotemporal…
Magneto-Acousto-Electric Tomography with Magnetic Field Measurements: Modeling, Inversion and Stability
Lingyun Qiu, Siqin Zheng
Magneto-acousto-electric tomography (MAET) combines ultrasound with a static magnetic field to infer the electrical conductivity of an object. In this paper, we present a rigorous…
Optimal-Transport Stability of Inverse Point-Source Problems for Elliptic and Parabolic Equations
Lingyun Qiu, Shenwen Yu
We establish quantitative global stability estimates, formulated in terms of optimal transport (OT) cost, for inverse point-source problems governed by elliptic and parabolic equat…
An Acoustic Inversion-Based Flow Measurement Model in 3D Hydrodynamic Systems
Jiwei Li, Lingyun Qiu, Zhongjing Wang +1
This study extends the flow measurement method initially proposed in [22] to three-dimensional scenarios, addressing the growing need for accurate and efficient non-contact flow me…
Sediment Concentration Estimation via Multiscale Inverse Problem and Stochastic Homogenization
Jiwei Li, Lingyun Qiu, Zhongjing Wang +2
We develop a multiscale framework for estimating sediment concentration in water flow from acoustic wave measurements. At the microscopic scale, the sediment distribution is modele…