3 papers
math.AP2026
Global strong solutions for 1D compressible Navier-Stokes/Cahn-Hilliard equations with vacuum
Shijin Ding, Yinghua Li, Yuanxiang Yan +1
In this paper, we study the initial-boundary value problem of the 1D compressible Navier--Stokes/Cahn--Hilliard system with vacuum. We establish the global existence and uniqueness…
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…
math.AP2024
Well-posedness of Navier-Stokes/Cahn-Hilliard equations modeling the dynamics of contact line in a channel
Shijin Ding, Yinghua Li, Zhilin Lin +1
In this paper, we study the contact line problem in a channel. Precisely, we consider the incompressible Navier-Stokes/Cahn-Hilliard system with eneralized Navier boundary conditio…