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…
Reconstruction methods for inverse scattering problems with phaseless data
John C. Schotland, Shenwen Yu
We investigate phaseless inverse scattering problem for the Schrödinger equation and develop reconstruction methods based on the inverse Born series (IBS). We consider three types…
Inverse Scattering for Dirac Equations Arising in Waveguide Arrays
John C. Schotland, Shenwen Yu
We investigate inverse scattering problems for Dirac equations that arise as continuum models of waveguide arrays. We first establish the well-posedness of the forward models. For…
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…
Traceability of Water Pollution: An Inversion Scheme Via Dynamic Complex Geometrical Optics Solutions
Lingyun Qiu, Zhongjing Wang, Hui Yu +1
We investigate the identification of the time-dependent source term in the diffusion equation using boundary measurements. This facilitates tracing back the origins of environmenta…