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20182023
most citedMagnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces

7 citations · 16 across the 9 of their papers we have counts for

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10 papers · 1 filter

math.AP2023

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…

math.AP2023

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,\…

math.AP2022

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…

math.AP2022

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…

math.AP20221 cited

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,…

math.AP20213 cited

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…