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.AP2025
Well-posedness of the nonhomogeneous incompressible Navier-Stokes/Allen-Cahn system
Yinghua Li, Wenlin Ye
In this paper, we investigate a system coupled by nonhomogeneous incompressible Navier-Stokes equations and Allen-Cahn equations describing a diffuse interface for two-phase flow o…