3 papers
math.AP2026
Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential
Mingwen Fei, Xiang Fei, Yadong Liu +1
We study a thermodynamically consistent diffuse-interface model that describes the motion of two macroscopically immiscible, incompressible, and viscous Newtonian fluids with unmat…
math.AP2026
Local-in-time existence of strong solutions to a quasi-incompressible Cahn--Hilliard--Navier--Stokes system
Mingwen Fei, Xiang Fei, Daozhi Han +1
We analyze a quasi-incompressible Cahn--Hilliard--Navier--Stokes system (qCHNS) for two-phase flows with unmatched densities. The order parameter is the volume fraction difference…
math.AP2025
Weak solutions and incompressible limit of a quasi-incompressible Navier--Stokes/Cahn--Hilliard model for viscous two-phase flows
Mingwen Fei, Xiang Fei, Daozhi Han +1
We study a quasi-incompressible Navier--Stokes/Cahn--Hilliard coupled system which describes the motion of two macroscopically immiscible incompressible viscous fluids with partial…