Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition

D Wang, F Xie - Journal of Differential Equations, 2023 - Elsevier
The inviscid limit for the two-dimensional compressible viscoelastic equations in the half
plane is considered under the no-slip boundary condition. When the initial deformation …

Vanishing dissipation limit of solutions to initial boundary value problem for three dimensional incompressible magneto-hydrodynamic equations with transverse …

S Gao, S Li, J Wang - Journal of Differential Equations, 2023 - Elsevier
In this paper, we study the vanishing dissipation limit of solutions to the initial boundary
value problem of three-dimensional incompressible viscous magnetohydrodynamic …

Uniform regularity estimates and inviscid limit for the compressible non-resistive magnetohydrodynamics system

X Cui, S Li, F Xie - Nonlinearity, 2022 - iopscience.iop.org
We are concerned with the uniform regularity estimates of solutions to the two dimensional
compressible non-resistive magnetohydrodynamics (MHD) equations with the no-slip …

Vanishing viscosity limit for compressible magnetohydrodynamics equations with transverse background magnetic field

X Cui, S Li, F Xie - arXiv preprint arXiv:2209.10779, 2022 - arxiv.org
We are concerned with the uniform regularity estimates and vanishing viscosity limit of
solution to two dimensional viscous compressible magnetohydrodynamics (MHD) equations …

Vanishing viscosity limit of compressible viscoelastic equations in half space

X Gu, D Wang, F Xie - Journal of Differential Equations, 2024 - Elsevier
In this paper we consider the vanishing viscosity limit of solutions to the initial boundary
value problem for the compressible viscoelastic equations in the half space. When the initial …

Uniform regularity and vanishing viscosity limit for the incompressible non-resistive magneto-micropolar equations

L Zou, X Lin - Applicable Analysis, 2023 - Taylor & Francis
In this paper, we consider the vanishing viscosity limit for the incompressible non-resistive
magneto-micropolar equations on the half-space with no-slip boundary condition (3). We …

Uniform regularity for incompressible MHD equations in a bounded domain with curved boundary in 3D

Y Du, T Luo - Journal of Differential Equations, 2025 - Elsevier
For the initial boundary problem of the incompressible MHD equations in a bounded domain
with general curved boundary in 3D with the general Navier-slip boundary conditions for the …

Long time well‐posedness of two dimensional Magnetohydrodynamic boundary layer equation without resistivity

D Chen, X Li - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
This paper investigates the long time well‐posedness of 2‐D MHD boundary layer equation
without resistivity. It is proved that if the initial data satisfies‖(u 0, h 0− 1)‖ H μ 3, 0+‖(u 0 …

Uniform regularity and vanishing dissipation limit for the 3D magnetic Bénard equations in half space

J Wang, X Zhang - Journal of Differential Equations, 2025 - Elsevier
In this paper, we are concerned with the uniform regularity and zero dissipation limit of
solutions to the initial boundary value problem of 3D incompressible magnetic Bénard …

Prandtl boundary layer expansion with strong boundary layers for inhomogeneous incompressible magnetohydrodynamics equations in Sobolev framework

S Li, F Xie - Journal of Functional Analysis, 2024 - Elsevier
We consider the validity of Prandtl boundary layer expansion of solutions to the initial
boundary value problem for inhomogeneous incompressible magnetohydrodynamics …