9 citations · 32 across the 15 of their papers we have counts for
15 papers
Vanishing viscosity limits of compressible viscoelastic equations in half space
Xumin Gu, Dehua Wang, Feng Xie
In this paper we consider the vanishing viscosity limit of solutions to the initial boundary value problem for compressible viscoelastic equations in the half space. When the initi…
Sharp interface limit for inhomogeneous incompressible Navier-Stokes/Allen-Cahn system in a bounded domain via a relative energy method
Song Jiang, Xiangxiang Su, Feng Xie
This paper concerns the sharp interface limit of solutions to the inhomogeneous incompressible Navier-Stokes/Allen-Cahn coupled system in a bounded domain $Ω\subset \mathbb{R}^n,\…
Vanishing viscosity limit for compressible magnetohydrodynamics equations with transverse background magnetic field
Xiufang Cui, Shengxin Li, Feng Xie
We are concerned with the uniform regularity estimates and vanishing viscosity limit of solution to two dimensional viscous compressible magnetohydrodynamics (MHD) equations with t…
Long time well-posedness of compressible magnetohydrodynamics boundary layer equations in Sobolev space
Shengxin Li, Feng Xie
In this paper we consider the long time well-posedness of solutions to two dimensional compressible magnetohydrodynamics (MHD) boundary layer equations. When the initial data is a…
Large time behavior of solutions to a diffusion approximation radiation hydrodynamics model
Wenjun Wang, Feng Xie, Xiongfeng Yang
This paper concerns with the large time behavior of solutions to a diffusion approximation radiation hydrodynamics model when the initial data is a small perturbation around an equ…
Remarks on Sharp Interface Limit for an Incompressible Navier-Stokes and Allen-Cahn Coupled System
Song Jiang, Xiangxiang Su, Feng Xie
We are concerned with the sharp interface limit for an incompressible Navier-Stokes and Allen-Cahn coupled system in this paper. When the thickness of the diffuse interfacial zone,…
Inviscid Limit of Compressible Viscoelastic Equations with the No-Slip Boundary Condition
Dehua Wang, Feng Xie
The inviscid limit for the two-dimensional compressible viscoelastic equations on the half plane is considered under the no-slip boundary condition. When the initial deformation te…
Global Solvability of 2D MHD Boundary Layer Equations in Analytic Function Spaces
Shengxin Li, Feng Xie
In this paper we are concerned with the global well-posedness of solutions to magnetohydrodynamics (MHD) boundary layer equations in analytic function spaces. When the initial data…
Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces
Cheng-Jie Liu, Dehua Wang, Feng Xie +1
In this paper, we are concerned with the magnetic effect on the Sobolev solvability of boundary layer equations for the 2D incompressible MHD system without resistivity. The MHD bo…
Verification of Prandtl boundary layer ansatz for the steady electrically conducting fluids with a moving physical boundary
Shijin Ding, Zhilin Lin, Feng Xie
In this paper, we are concerned with the validity of Prandtl boundary layer expansion for the solutions to two dimensional (2D) steady viscous incompressible magnetohydrodynamics (…
Global-in-time Stability of 2D MHD boundary Layer in the Prandtl-Hartmann Regime
Feng Xie, Tong Yang
In this paper, we prove global existence of solutions with analytic regularity to the 2D MHD boundary layer equations in the mixed Prandtl and Hartmann regime derived by formal mul…
Justification of Prandtl Ansatz for MHD boundary layer
Cheng-Jie Liu, Feng Xie, Tong Yang
As a continuation of \cite{LXY}, the paper aims to justify the high Reynolds numbers limit for the MHD system with Prandtl boundary layer expansion when no-slip boundary condition…
MHD boundary layers theory in Sobolev spaces without monotonicity. I. well-posedness theory
Cheng-Jie Liu, Feng Xie, Tong Yang
We study the well-posedness theory for the MHD boundary layer. The boundary layer equations are governed by the Prandtl type equations that are derived from the incompressible MHD…
Non-relativistic limit of the compressible Navier-Stokes-Fourier-P1 approximation model arising in radiation hydrodynamics
Song Jiang, Fucai Li, Feng Xie
As is well-known that the general radiation hydrodynamics models include two mainly coupled parts: one is macroscopic fluid part, which is governed by the compressible Navier-Stoke…
Local well-posedness of Prandtl equations for compressible flow in two space variables
Ya-Guang Wang, Feng Xie, Tong Yang
In this paper, we consider the local well-posedness of the Prandtl boundary layer equations that describe the behavior of boundary layer in the small viscosity limit of the compres…