3 papers
math.AP2026
Global boundedness of a two-species attraction-attraction chemotaxis model with bilinear boundary influx
Gurusamy Arumugam, Silvia Frassu, Kwancheol Shin +1
Since its introduction, the Keller--Segel model has become a cornerstone in the mathematical theory of chemotaxis and it has generated extensive analytical activity. Most studies c…
math.NA2025
Learning-Enhanced Variational Regularization for Electrical Impedance Tomography via Calderón's Method
Kai Li, Kwancheol Shin, Zhi Zhou
This paper aims to numerically solve the two-dimensional electrical impedance tomography (EIT) with Cauchy data. This inverse problem is highly challenging due to its severe ill-po…
math.NA2024
Determining a Time-Varying Potential in Time-Fractional Diffusion from Observation at a Single Point
Siyu Cen, Kwancheol Shin, Zhi Zhou
We discuss the identification of a time-dependent potential in a time-fractional diffusion model from a boundary measurement taken at a single point. Theoretically, we establish a…