4 papers
Higher Order Convergence for the Sharp Interface Limit of 3D Navier--Stokes/Allen--Cahn Systems
Helmut Abels, Mingwen Fei, Yadong Liu +1
We show convergence of solutions to a Navier--Stokes/Allen--Cahn system as the interfacial thickness tends to zero for well-prepared initial data as long as the lim…
Stabilizing effect of a background magnetic field on the 2D damped wave-type MHD equations
Zhi Chen, Mingwen Fei, Hongxia Lin +2
The stabilizing effect of a background magnetic field on electrically conducting fluids has been rigorously established for the standard MHD equations. This paper extends this theo…
Sharp decay characterization for the incompressible Oldroyd-B model in critical spaces
Zhi Chen, Mingwen Fei, Lvqiao Liu +1
This paper establishes a sharp characterization of temporal decay rates for the incompressible Oldroyd-B model in a critical framework, covering the physically relevant and m…
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…