93 citations · 295 across the 27 of their papers we have counts for
28 papers
On Global-in-time Solutions of Incompressible MHD Equations with Small Alfvén Numbers
Fei Jiang, Xiao Ren, Yi Zhou
In 1965 Kraichnan pointed out that a sufficiently strong background magnetic field, i.e. the case of small Alfvén number, will reduce the nonlinear interaction and inhibit the form…
Rayleigh-Taylor Instability in Stratified Compressible Fluids with/without the Interfacial Surface Tension
Fei Jiang, Han Jiang, Song Jiang
Guo--Tice formally established in 2011 that the Rayleigh--Taylor instability inevitably occurs within stratified compressible viscous fluids in a slab domain $\mathbb{R}^2\times (h…
On Stability and Instability of Gravity Driven Navier-Stokes-Korteweg Model in Two Dimensions
Fei Jiang, Fucai Li, Zhipeng Zhang
Bresch-Desjardins-Gisclon-Sart have derived that the capillarity can slow {down} the growth rate of Rayleigh-Taylor (RT) instability in the capillary fluids based on the linearized…
On Inhibition of Rayleigh--Taylor Instability by a Horizontal Magnetic Field in Non-resistive MHD Fluids: the Viscous Case
Fei Jiang, Song Jiang, Youyi Zhao
It is still open whether the phenomenon of inhibition of Rayleigh--Taylor (RT) instability by a horizontal magnetic field can be mathematically verified for a non-resistive \emph{v…
On Magnetic Inhibition Theory in Non-resistive Magnetohydrodynamic Fluids: Existence of Solutions in Some Classes of Large Data
Fei Jiang, Song Jiang
This paper is concerned with existence of solutions to the incompressible non-resistive viscous magnetohydrodynamic (MHD) equations with large initial perturbations in there-dimens…
On Inhibition of Rayleigh--Taylor Instability by Horizontal Magnetic Field in an Inviscid MHD Fluid with Velocity Damping
Fei Jiang, Song Jiang, Youyi Zhao
It is still an open problem whether the inhibition phenomenon of Rayleigh--Taylor (RT) instability by horizontal magnetic field can be mathematically proved in a non-resistive magn…
Global Solutions of Three-dimensional Inviscid MHD Fluids with Velocity Damping in Horizontally Periodic Domains
Fei Jiang, Song Jiang, Youyi Zhao
The \emph{two-dimensional} (2D) existence result of global(-in-time) solutions for the motion equations of incompressible, inviscid, non-resistive magnetohydrodynamic (MHD) fluids…
Asymptotic Behaviors of Global Solutions to the Two-Dimensional Non-resistive MHD Equations with Large Initial Perturbations
Fei Jiang, Song Jiang
This paper is concerned with the asymptotic behaviors of global strong solutions to the incompressible non-resistive viscous magnetohydrodynamic (MHD) equations with large initial…
Strong Solutions of the Equations for Viscoelastic Fluids in Some Classes of Large Data
Fei Jiang, Song Jiang
We study the existence and uniqueness of global strong solutions to the equations of an incompressible viscoelastic fluid in a spatially periodic domain, and show that a unique str…
On the Inhibition of Thermal Convection by a Magnetic Field under Zero Resistivity
Fei Jiang, Song Jiang
We investigate the stability and instability of the magnetic Rayleigh--Bénard problem with zero resistivity. An stability criterion is established, under which the magnetic Bénard…
On Classical Solutions of Rayleigh--Taylor Instability in Inhomogeneous Incompressible Viscous Fluids in Bounded Domains
Fei Jiang, Youyi Zhao
We study the existence of unstable classical solutions of the Rayleigh--Taylor instability problem (abbr. RT problem) of an inhomogeneous incompressible viscous fluid in a bounded…
Instability of the Abstract Rayleigh--Taylor Problem and Applications
Fei Jiang, Song Jiang, Weicheng Zhan
We prove the existence of a unique unstable strong solution in the sense of -norm for an abstract Rayleigh--Taylor (RT) problem arising from stratified viscous fluids in Lagra…
On Magnetic Inhibition Theory in Non-resistive Magnetohydrodynamic Fluids
Fei Jiang, Song Jiang
We investigate why the non-slip boundary condition for the velocity, imposed in the direction of impressed magnetic fields, can contribute to the magnetic inhibition effect based o…
Nonlinear Stability and Instablity in Rayleight--Taylor Problem of Stratisfied Compressible MHD Fluids
Fei Jiang, Song Jiang
We establish criteria of stability and instability for the stratified compressible magnetic Rayleigh--Taylor (RT) problem. More precisely, if under the stability condition , w…
On the Dynamical Stability and Instability of Parker Problem
Fei Jiang, Song Jiang
We investigate a perturbation problem for the three-dimensional compressible isentropic viscous magnetohydrodynamic system with zero resistivity in the presence of a modified gravi…
On Linear Instability and Stability of the Rayleigh-Taylor Problem in Magnetohydrodynamics
Fei Jiang, Song Jiang
We investigate the stabilizing effects of the magnetic fields in the linearized magnetic Rayleigh-Taylor (RT) problem of a nonhomogeneous incompressible viscous magnetohydrodynamic…
An Improved Result on Rayleigh--Taylor Instability of Nonhomogeneous Incompressible Viscous Flows
Fei Jiang
In [F. Jiang, S. Jiang, On instability and stability of three-dimensional gravity driven viscous flows in a bounded domain, Adv. Math., 264 (2014) 831--863], Jiang et.al. investiga…
Nonlinear Thermal Instability in Compressible Viscous Flows without Heat Conductivity
Fei Jiang
We investigate the thermal instability of a smooth equilibrium state, in which the density function satisfies Schwarzschild's (instability) condition, to a compressible heat-conduc…
On Instability and Stability of Three-Dimensional Gravity Driven Viscous Flows in a Bounded Domain
Fei Jiang, Song Jiang
We investigate the instability and stability of some steady-states of a three-dimensional nonhomogeneous incompressible viscous flow driven by gravity in a bounded domain of cl…
Nonlinear Rayleigh-Taylor Instability for Nonhomogeneous Incompressible Viscous Magnetohydrodynamic Flows
Fei Jiang, Song Jiang, Weiwei Wang
We investigate the nonlinear instability of a smooth Rayleigh-Taylor steady-state solution (including the case of heavier density with increasing height) to the three-dimensional i…
On Multi-dimensional Compressible Flows of Nematic Liquid Crystals with Large Initial Energy in a Bounded Domain
Fei Jiang, Song Jiang, Dehua Wang
We study the global existence of weak solutions to a multi-dimensional simplified Ericksen-Leslie system for compressible flows of nematic liquid crystals with large initial energy…
Existence of strong solutions to the steady Navier-Stokes equations for a compressible heat-conductive fluid with large forces
Changsheng Dou, Fei Jiang, Song Jiang +1
We prove that there exists a strong solution to the Dirichlet boundary value problem for the steady Navier-Stokes equations of a compressible heat-conductive fluid with large exter…
Global Weak Solutions to the Equations of Compressible Flow of Nematic Liquid Crystals in Two Dimensions
Fei Jiang, Song Jiang, Dehua Wang
We consider weak solutions to a two-dimensional simplified Ericksen-Leslie system of compressible flow of nematic liquid crystals. An initial-boundary value problem is first studie…
A Note on Large Time Behavior of Velocity in the Baratropic Compressible Navier-Stokes Equations
Fei Jiang
Recently, for periodic initial data with initial density allowed to vanish, Huang and Li [1] establish the global existence of strong and weak solutions for the two-dimensional com…