2 papers
math.NA2025
A decoupled and structure-preserving direct discontinuous Galerkin method for the Keller-Segel Model
X. Yin, X. Lan, Y. Qin
In this work, we develop a novel numerical scheme to solve the classical Keller--Segel (KS) model which simultaneously preserves its intrinsic mathematical structure and achieves o…
math.AP2025
Navier-Stokes/Allen-Cahn system with moving contact line
Yinghua Li, Yuanxiang Yan, Xijun Yin
In this paper, we study a diffuse interface model for two-phase immiscible flows coupled by Navier-Stokes equations and mass-conserving Allen-Cahn equations. The contact line (the…