11 citations · 26 across the 14 of their papers we have counts for
15 papers
Sharp decay characterization for the Oldroyd-B system with only velocity dissipation
Zhi Chen, Mingwen Fei, Lvqiao Liu +1
We study the incompressible Oldroyd-B system on , , in the regime in which the velocity is the only dissipated quantity: the stress tensor undergoes neither rel…
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…
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…
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…
Sharp Interface Limit for a Navier-Stokes/Allen-Cahn System in the Case of a Vanishing Mobility
Helmut Abels, Mingwen Fei, Maximilian Moser
We consider the sharp interface limit of a Navier-Stokes/Allen Cahn equation in a bounded smooth domain in two space dimensions, in the case of vanishing mobility $m_\varepsilon=\s…
Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces
Xiang Fei, Yanghai Yu, Mingwen Fei
In this paper, we give a new construction of such that the corresponding solution to the hyperbolic Keller-Segel model starting from is discontinuous…
Sharp Interface Limit for a Navier-Stokes/Allen-Cahn System with Different Viscosities
Helmut Abels, Mingwen Fei
We discuss the sharp interface limit of a coupled Navier-Stokes/Allen-Cahn system in a two dimensional, bounded and smooth domain, when a parameter that is proporti…
Prandtl-Batchelor flows on a disk
Mingwen Fei, Chen Gao, Zhiwu Lin +1
For steady two-dimensional flows with a single eddy (i.e. nested closed streamlines), Prandtl (1905) and Batchelor (1956) proposed that in the limit of vanishing viscosity the vort…
Prandtl-Batchelor flows on an annulus
Mingwen Fei, Chen Gao, Zhiwu Lin +1
For steady two-dimensional Navier-Stokes flows with a single eddy (i.e. nested closed streamlines) in a simply connected domain, Prandtl (1905) and Batchelor (1956) found that in t…
Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem
Mingwen Fei, Fanghua Lin, Wei Wang +1
In this paper, we consider the sharp interface limit of a matrix-valued Allen-Cahn equation, which takes the form: $$\partial_t A=ΔA-\varepsilon^{-2}( A A^{\mathrm{T}}A- A)~~\text{…
Phase-field approximation of the Willmore flow
Mingwen Fei, Yuning Liu
We investigate the phase-field approximation of the Willmore flow. This is a fourth-order diffusion equation with a parameter that is proportional to the thickness of the dif…
Sharp interface limit of a diffuse interface model for tumor-growth
Mingwen Fei, Tao Tao, Wei Wang
We consider the asymptotic limit of a diffuse interface model for tumor-growth when a parameter proportional to the thickness of the diffuse interface goes to zero. A…
On the zero-viscosity limit of the Navier-Stokes equations in the half-space
Mingwen Fei, Tao Tao, Zhifei Zhang
We consider the zero viscosity limit of the incompressible Navier-Stokes equations with non-slip boundary condition in the half-space for the initial vorticity located away from th…
Dynamics of the Nematic-Isotropic sharp interface for the liquid crystal
Mingwen Fei, Wei Wang, Pingwen Zhang +1
In this paper, we derive the sharp interface model of the nematic-isotropic phase transition from the Landau-de Gennes theory by using the matched asymptotic expansion method. The…